Automatically assigned DDC number: 00419

Manually assigned DDC number: 00419

Number of references: 16

Title: Towards a Geometric Theory of Hybrid Systems

Author:

Author:

Author:

Author:

Subject: Slobodan N. Simi'c,Karl Henrik Johansson,John Lygeros,Shankar Sastry Towards a Geometric Theory of Hybrid Systems

Description: We propose a framework for a geometric theory of hybrid systems. Given a deterministic, non-blocking hybrid system, we introduce the notion of its hybrifold with the associated hybrid flow on it. This enables us to study hybrid systems from a global geometric perspective as (generally non-smooth) dynamical systems. This point of view is adopted in studying the Zeno phenomenon. We show that it is due to nonsmoothness of the hybrid flow. We introduce the notion of topological equivalence of hybrid systems and locally classify Zeno states in dimension two. 1 Introduction Any system which changes in time and involves interactions between continuous processes and discrete automata can be viewed as a hybrid system. The name comes from the hybrid nature of its evolution: intervals of continuous-time change are combined with instanteneous, discrete jumps. Hybrid systems have been a topic of great interest, primarily in the control and computer theory communities. Motivated by applicati...

Contributor: The Pennsylvania State University CiteSeer Archives

Publisher: unknown

Date: 2000-11-06

Pubyear: 2000

Format: ps

Identifier: http://citeseer.ist.psu.edu/399286.html

Source: http://robotics.eecs.berkeley.edu/~simic/PS/hybrifold_j.ps

Language: en

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Rights: unrestricted

Graph

<?xml   version="1.0"   encoding="UTF-8"?>

<references_metadata>

      <rec   ID="/282106.html"   Type="incollection"   CiteSeer_Book="82"   CiteSeer_Volume=""   Title="Hybrid   {I}/{O}   automata,">

            <identifier   Org="ISBN:0387749349"   Paper_ID="/282106.html"   Extracted="0387749349"   DDC="006.3"   Normalized_DDC="0063"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0780338014"   Paper_ID="/282106.html"   Extracted="0780338014"   />

            <identifier   Org="ISBN:1402081480"   Paper_ID="/282106.html"   Extracted="1402081480"   DDC="004.256"   Normalized_DDC="004256"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:1586033425"   Paper_ID="/282106.html"   Extracted="1586033425"   DDC="620/.00285/5"   Normalized_DDC="620002855"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540251081"   Paper_ID="/282106.html"   Extracted="3540251081"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540309462"   Paper_ID="/282106.html"   Extracted="3540309462"   DDC="003/.3"   Normalized_DDC="0033"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540407537"   Paper_ID="/282106.html"   Extracted="3540407537"   DDC="004.35"   Normalized_DDC="00435"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540418660"   Paper_ID="/282106.html"   Extracted="3540418660"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540426736"   Paper_ID="/282106.html"   Extracted="3540426736"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:354061155X"   Paper_ID="/282106.html"   Extracted="354061155X"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:354062600X"   Paper_ID="/282106.html"   Extracted="354062600X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540643583"   Paper_ID="/282106.html"   Extracted="3540643583"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540672591"   Paper_ID="/282106.html"   Extracted="3540672591"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540714928"   Paper_ID="/282106.html"   Extracted="3540714928"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:354075220X"   Paper_ID="/282106.html"   Extracted="354075220X"   DDC="004.01/51"   Normalized_DDC="0040151"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:8173194904"   Paper_ID="/282106.html"   Extracted="8173194904"   />

      </rec>

      <rec   ID="/7624.html"   Type="inproceedings"   CiteSeer_Book="Proceedings   of   the   Eighth   International   Conference   on   Concurrency   Theory   CONCUR"   CiteSeer_Volume=""   Title="{Modularity   for   Timed   and   Hybrid   Systems},">

            <identifier   Org="ISBN:0780367227"   Paper_ID="/7624.html"   Extracted="0780367227"   />

            <identifier   Org="ISBN:3540009132"   Paper_ID="/7624.html"   Extracted="3540009132"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540309462"   Paper_ID="/7624.html"   Extracted="3540309462"   DDC="003/.3"   Normalized_DDC="0033"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540328696"   Paper_ID="/7624.html"   Extracted="3540328696"   DDC="511/.3/5"   Normalized_DDC="51135"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540407537"   Paper_ID="/7624.html"   Extracted="3540407537"   DDC="004.35"   Normalized_DDC="00435"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540418660"   Paper_ID="/7624.html"   Extracted="3540418660"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:354043321X"   Paper_ID="/7624.html"   Extracted="354043321X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540436316"   Paper_ID="/7624.html"   Extracted="3540436316"   DDC="005.1/4"   Normalized_DDC="00514"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540439307"   Paper_ID="/7624.html"   Extracted="3540439307"   DDC="005.115"   Normalized_DDC="005115"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540631410"   Paper_ID="/7624.html"   Extracted="3540631410"   />

            <identifier   Org="ISBN:3540650032"   Paper_ID="/7624.html"   Extracted="3540650032"   DDC="004/.33"   Normalized_DDC="00433"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540662022"   Paper_ID="/7624.html"   Extracted="3540662022"   DDC="004.24"   Normalized_DDC="00424"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540677976"   Paper_ID="/7624.html"   Extracted="3540677976"   DDC="004/.01/5113"   Normalized_DDC="004015113"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540678239"   Paper_ID="/7624.html"   Extracted="3540678239"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540714928"   Paper_ID="/7624.html"   Extracted="3540714928"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540726845"   Paper_ID="/7624.html"   Extracted="3540726845"   />

            <identifier   Org="ISBN:3540733671"   Paper_ID="/7624.html"   Extracted="3540733671"   />

            <identifier   Org="ISBN:3540734198"   Paper_ID="/7624.html"   Extracted="3540734198"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540789286"   Paper_ID="/7624.html"   Extracted="3540789286"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:354085777X"   Paper_ID="/7624.html"   Extracted="354085777X"   />

      </rec>

      <rec   ID="/73862.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="Complementarity   modeling   of   hybrid   systems,">

            <identifier   Org="ISBN:0780365666"   Paper_ID="/73862.html"   Extracted="0780365666"   />

            <identifier   Org="ISBN:0780376315"   Paper_ID="/73862.html"   Extracted="0780376315"   />

            <identifier   Org="ISBN:0792360303"   Paper_ID="/73862.html"   Extracted="0792360303"   DDC="530.14/4"   Normalized_DDC="530144"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:0817643257"   Paper_ID="/73862.html"   Extracted="0817643257"   DDC="003/.5"   Normalized_DDC="0035"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:1852330449"   Paper_ID="/73862.html"   Extracted="1852330449"   DDC="003"   Normalized_DDC="003"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:1852333782"   Paper_ID="/73862.html"   Extracted="1852333782"   DDC="003/.75"   Normalized_DDC="00375"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540251081"   Paper_ID="/73862.html"   Extracted="3540251081"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:354062600X"   Paper_ID="/73862.html"   Extracted="354062600X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:354065643X"   Paper_ID="/73862.html"   Extracted="354065643X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540657347"   Paper_ID="/73862.html"   Extracted="3540657347"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540672591"   Paper_ID="/73862.html"   Extracted="3540672591"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540789286"   Paper_ID="/73862.html"   Extracted="3540789286"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:9031324469"   Paper_ID="/73862.html"   Extracted="9031324469"   />

      </rec>

      <rec   ID="/424628.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="A   unified   framework   for   hybrid   control:   model   and   optimal   control   theory,">

            <identifier   Org="ISBN:0080442978"   Paper_ID="/424628.html"   Extracted="0080442978"   DDC="660/.2815"   Normalized_DDC="6602815"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:0780382854"   Paper_ID="/424628.html"   Extracted="0780382854"   />

            <identifier   Org="ISBN:0816908699"   Paper_ID="/424628.html"   Extracted="0816908699"   />

            <identifier   Org="ISBN:0817632395"   Paper_ID="/424628.html"   Extracted="0817632395"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:0849300770"   Paper_ID="/424628.html"   Extracted="0849300770"   DDC="621"   Normalized_DDC="621"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:0849391377"   Paper_ID="/424628.html"   Extracted="0849391377"   DDC="621"   Normalized_DDC="621"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:1402005490"   Paper_ID="/424628.html"   Extracted="1402005490"   DDC="658.4"   Normalized_DDC="6584"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:1402041365"   Paper_ID="/424628.html"   Extracted="1402041365"   DDC="629.892"   Normalized_DDC="629892"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:1846288983"   Paper_ID="/424628.html"   Extracted="1846288983"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540228195"   Paper_ID="/424628.html"   Extracted="3540228195"   DDC="384.3"   Normalized_DDC="3843"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540239537"   Paper_ID="/424628.html"   Extracted="3540239537"   DDC="629.8/312"   Normalized_DDC="6298312"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540251081"   Paper_ID="/424628.html"   Extracted="3540251081"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540403418"   Paper_ID="/424628.html"   Extracted="3540403418"   DDC="515/.64"   Normalized_DDC="51564"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:354043321X"   Paper_ID="/424628.html"   Extracted="354043321X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540658513"   Paper_ID="/424628.html"   Extracted="3540658513"   DDC="660/.285"   Normalized_DDC="660285"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540714928"   Paper_ID="/424628.html"   Extracted="3540714928"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540789286"   Paper_ID="/424628.html"   Extracted="3540789286"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3764362979"   Paper_ID="/424628.html"   Extracted="3764362979"   DDC="629.8/312"   Normalized_DDC="6298312"   Normalized_Weight="0.0625"   />

      </rec>

      <rec   ID="/246523.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="the   regularization   of   Zeno   hybrid   automata,">

            <identifier   Org="ISBN:038795533X"   Paper_ID="/246523.html"   Extracted="038795533X"   DDC="621.39/1"   Normalized_DDC="621391"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:0780365666"   Paper_ID="/246523.html"   Extracted="0780365666"   />

            <identifier   Org="ISBN:0816908699"   Paper_ID="/246523.html"   Extracted="0816908699"   />

            <identifier   Org="ISBN:0817632395"   Paper_ID="/246523.html"   Extracted="0817632395"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:0817643257"   Paper_ID="/246523.html"   Extracted="0817643257"   DDC="003/.5"   Normalized_DDC="0035"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:1846280397"   Paper_ID="/246523.html"   Extracted="1846280397"   DDC="515/.39"   Normalized_DDC="51539"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:354000257X"   Paper_ID="/246523.html"   Extracted="354000257X"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540220070"   Paper_ID="/246523.html"   Extracted="3540220070"   DDC="006.3"   Normalized_DDC="0063"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540251081"   Paper_ID="/246523.html"   Extracted="3540251081"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:354043321X"   Paper_ID="/246523.html"   Extracted="354043321X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540714928"   Paper_ID="/246523.html"   Extracted="3540714928"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.1111111111111111"   />

      </rec>

      <rec   ID="/479079.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="Multiple   Lyapunov   functions   and   other   analysis   tools   for   switched   and   hybrid   systems,">

            <identifier   Org="ISBN:0780386353"   Paper_ID="/479079.html"   Extracted="0780386353"   />

            <identifier   Org="ISBN:0791819132"   Paper_ID="/479079.html"   Extracted="0791819132"   DDC="624.1/71"   Normalized_DDC="624171"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0817632395"   Paper_ID="/479079.html"   Extracted="0817632395"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:0817644865"   Paper_ID="/479079.html"   Extracted="0817644865"   DDC="003/.85"   Normalized_DDC="00385"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540212590"   Paper_ID="/479079.html"   Extracted="3540212590"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540282270"   Paper_ID="/479079.html"   Extracted="3540282270"   DDC="006.3"   Normalized_DDC="0063"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540284567"   Paper_ID="/479079.html"   Extracted="3540284567"   DDC="629.8/36"   Normalized_DDC="629836"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540298142"   Paper_ID="/479079.html"   Extracted="3540298142"   />

            <identifier   Org="ISBN:3540343814"   Paper_ID="/479079.html"   Extracted="3540343814"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540404058"   Paper_ID="/479079.html"   Extracted="3540404058"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540418660"   Paper_ID="/479079.html"   Extracted="3540418660"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:354043321X"   Paper_ID="/479079.html"   Extracted="354043321X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540651934"   Paper_ID="/479079.html"   Extracted="3540651934"   DDC="004.16"   Normalized_DDC="00416"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540657347"   Paper_ID="/479079.html"   Extracted="3540657347"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540714928"   Paper_ID="/479079.html"   Extracted="3540714928"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540726985"   Paper_ID="/479079.html"   Extracted="3540726985"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540744681"   Paper_ID="/479079.html"   Extracted="3540744681"   />

            <identifier   Org="ISBN:354075220X"   Paper_ID="/479079.html"   Extracted="354075220X"   DDC="004.01/51"   Normalized_DDC="0040151"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:3540754539"   Paper_ID="/479079.html"   Extracted="3540754539"   DDC="005.3"   Normalized_DDC="0053"   Normalized_Weight="0.058823529411764705"   />

            <identifier   Org="ISBN:9810243413"   Paper_ID="/479079.html"   Extracted="9810243413"   DDC="621.381"   Normalized_DDC="621381"   Normalized_Weight="0.058823529411764705"   />

      </rec>

      <rec   ID="/43270.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="Computation   of   piecewise   quadratic   Lyapunov   functions   for   hybrid   systems,">

            <identifier   Org="ISBN:0080442722"   Paper_ID="/43270.html"   Extracted="0080442722"   />

            <identifier   Org="ISBN:0780338332"   Paper_ID="/43270.html"   Extracted="0780338332"   />

            <identifier   Org="ISBN:079238461X"   Paper_ID="/43270.html"   Extracted="079238461X"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0816908699"   Paper_ID="/43270.html"   Extracted="0816908699"   />

            <identifier   Org="ISBN:0863802664"   Paper_ID="/43270.html"   Extracted="0863802664"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540212590"   Paper_ID="/43270.html"   Extracted="3540212590"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540282270"   Paper_ID="/43270.html"   Extracted="3540282270"   DDC="006.3"   Normalized_DDC="0063"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540418660"   Paper_ID="/43270.html"   Extracted="3540418660"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:354043321X"   Paper_ID="/43270.html"   Extracted="354043321X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:354062600X"   Paper_ID="/43270.html"   Extracted="354062600X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540643583"   Paper_ID="/43270.html"   Extracted="3540643583"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:354065643X"   Paper_ID="/43270.html"   Extracted="354065643X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540657347"   Paper_ID="/43270.html"   Extracted="3540657347"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540714928"   Paper_ID="/43270.html"   Extracted="3540714928"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:354075220X"   Paper_ID="/43270.html"   Extracted="354075220X"   DDC="004.01/51"   Normalized_DDC="0040151"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540789286"   Paper_ID="/43270.html"   Extracted="3540789286"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:9810238258"   Paper_ID="/43270.html"   Extracted="9810238258"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.07142857142857142"   />

      </rec>

      <rec   ID="/17507.html"   Type="article"   CiteSeer_Book="Theoretical   Computer   Science"   CiteSeer_Volume="138"   Title="The   algorithmic   analysis   of   hybrid   systems,">

            <identifier   Org="ISBN:1402056257"   Paper_ID="/17507.html"   Extracted="1402056257"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540008985"   Paper_ID="/17507.html"   Extracted="3540008985"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540212590"   Paper_ID="/17507.html"   Extracted="3540212590"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540216715"   Paper_ID="/17507.html"   Extracted="3540216715"   DDC="004.33"   Normalized_DDC="00433"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:354022310X"   Paper_ID="/17507.html"   Extracted="354022310X"   DDC="519.6"   Normalized_DDC="5196"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540292098"   Paper_ID="/17507.html"   Extracted="3540292098"   DDC="620.00420285"   Normalized_DDC="62000420285"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540309462"   Paper_ID="/17507.html"   Extracted="3540309462"   DDC="003/.3"   Normalized_DDC="0033"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540418652"   Paper_ID="/17507.html"   Extracted="3540418652"   DDC="004.2/11"   Normalized_DDC="004211"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540418660"   Paper_ID="/17507.html"   Extracted="3540418660"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:354043321X"   Paper_ID="/17507.html"   Extracted="354043321X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540600841"   Paper_ID="/17507.html"   Extracted="3540600841"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540604723"   Paper_ID="/17507.html"   Extracted="3540604723"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540606300"   Paper_ID="/17507.html"   Extracted="3540606300"   DDC="005.2"   Normalized_DDC="0052"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:354061155X"   Paper_ID="/17507.html"   Extracted="354061155X"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:354062600X"   Paper_ID="/17507.html"   Extracted="354062600X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540643583"   Paper_ID="/17507.html"   Extracted="3540643583"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540650032"   Paper_ID="/17507.html"   Extracted="3540650032"   DDC="004/.33"   Normalized_DDC="00433"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:354065643X"   Paper_ID="/17507.html"   Extracted="354065643X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540714928"   Paper_ID="/17507.html"   Extracted="3540714928"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.05"   />

            <identifier   Org="ISBN:3540787380"   Paper_ID="/17507.html"   Extracted="3540787380"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.05"   />

      </rec>

      <rec   ID="/161828.html"   Type="inproceedings"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="What's   decidable   about   hybrid   automata?,">

            <identifier   Org="ISBN:0817643850"   Paper_ID="/161828.html"   Extracted="0817643850"   DDC="629.8/3"   Normalized_DDC="62983"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:0897917189"   Paper_ID="/161828.html"   Extracted="0897917189"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540008985"   Paper_ID="/161828.html"   Extracted="3540008985"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540212590"   Paper_ID="/161828.html"   Extracted="3540212590"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540309462"   Paper_ID="/161828.html"   Extracted="3540309462"   DDC="003/.3"   Normalized_DDC="0033"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540405240"   Paper_ID="/161828.html"   Extracted="3540405240"   DDC="004.24"   Normalized_DDC="00424"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:354043321X"   Paper_ID="/161828.html"   Extracted="354043321X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540600841"   Paper_ID="/161828.html"   Extracted="3540600841"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540604723"   Paper_ID="/161828.html"   Extracted="3540604723"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:354062600X"   Paper_ID="/161828.html"   Extracted="354062600X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540643583"   Paper_ID="/161828.html"   Extracted="3540643583"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:354065643X"   Paper_ID="/161828.html"   Extracted="354065643X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540657347"   Paper_ID="/161828.html"   Extracted="3540657347"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540665366"   Paper_ID="/161828.html"   Extracted="3540665366"   DDC="004/.01/5113"   Normalized_DDC="004015113"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540678972"   Paper_ID="/161828.html"   Extracted="3540678972"   DDC="001.64"   Normalized_DDC="00164"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540705821"   Paper_ID="/161828.html"   Extracted="3540705821"   />

            <identifier   Org="ISBN:3540727329"   Paper_ID="/161828.html"   Extracted="3540727329"   />

      </rec>

      <rec   ID="/521201.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="Ominimal   hybrid   systems,"   />

      <rec   ID="/47756.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="Controllers   for   reachability   specifications   for   hybrid   systems,">

            <identifier   Org="ISBN:0471234362"   Paper_ID="/47756.html"   Extracted="0471234362"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:0780389360"   Paper_ID="/47756.html"   Extracted="0780389360"   />

            <identifier   Org="ISBN:0816908699"   Paper_ID="/47756.html"   Extracted="0816908699"   />

            <identifier   Org="ISBN:0817632395"   Paper_ID="/47756.html"   Extracted="0817632395"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:0817643850"   Paper_ID="/47756.html"   Extracted="0817643850"   DDC="629.8/3"   Normalized_DDC="62983"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:0849300770"   Paper_ID="/47756.html"   Extracted="0849300770"   DDC="621"   Normalized_DDC="621"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:0849391377"   Paper_ID="/47756.html"   Extracted="0849391377"   DDC="621"   Normalized_DDC="621"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:1846288983"   Paper_ID="/47756.html"   Extracted="1846288983"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540239537"   Paper_ID="/47756.html"   Extracted="3540239537"   DDC="629.8/312"   Normalized_DDC="6298312"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540251081"   Paper_ID="/47756.html"   Extracted="3540251081"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540279385"   Paper_ID="/47756.html"   Extracted="3540279385"   DDC="629.8/36"   Normalized_DDC="629836"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540418660"   Paper_ID="/47756.html"   Extracted="3540418660"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:354043321X"   Paper_ID="/47756.html"   Extracted="354043321X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540441654"   Paper_ID="/47756.html"   Extracted="3540441654"   DDC="004/.33"   Normalized_DDC="00433"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540657347"   Paper_ID="/47756.html"   Extracted="3540657347"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540714928"   Paper_ID="/47756.html"   Extracted="3540714928"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:354074357X"   Paper_ID="/47756.html"   Extracted="354074357X"   />

            <identifier   Org="ISBN:3540754539"   Paper_ID="/47756.html"   Extracted="3540754539"   DDC="005.3"   Normalized_DDC="0053"   Normalized_Weight="0.0625"   />

            <identifier   Org="ISBN:3540789286"   Paper_ID="/47756.html"   Extracted="3540789286"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.0625"   />

      </rec>

      <rec   ID="/618748.html"   Type="inproceedings"   CiteSeer_Book="HSCC"   CiteSeer_Volume=""   Title="Towards   a   Geometric   Theory   of   Hybrid   Systems,">

            <identifier   Org="ISBN:0780365666"   Paper_ID="/618748.html"   Extracted="0780365666"   />

            <identifier   Org="ISBN:0817642978"   Paper_ID="/618748.html"   Extracted="0817642978"   DDC="621.3815/372"   Normalized_DDC="6213815372"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:0821842463"   Paper_ID="/618748.html"   Extracted="0821842463"   DDC="629.8/9201514"   Normalized_DDC="62989201514"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:1846280397"   Paper_ID="/618748.html"   Extracted="1846280397"   DDC="515/.39"   Normalized_DDC="51539"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3527404309"   Paper_ID="/618748.html"   Extracted="3527404309"   DDC="670/.1/5118"   Normalized_DDC="67015118"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540208038"   Paper_ID="/618748.html"   Extracted="3540208038"   DDC="005.1/4"   Normalized_DDC="00514"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540251081"   Paper_ID="/618748.html"   Extracted="3540251081"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540418660"   Paper_ID="/618748.html"   Extracted="3540418660"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:354043321X"   Paper_ID="/618748.html"   Extracted="354043321X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540440437"   Paper_ID="/618748.html"   Extracted="3540440437"   DDC="004/.35"   Normalized_DDC="00435"   Normalized_Weight="0.1111111111111111"   />

      </rec>

      <rec   ID="/252064.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="the   existence   of   executions   of   hybrid   automata,">

            <identifier   Org="ISBN:0780365666"   Paper_ID="/252064.html"   Extracted="0780365666"   />

            <identifier   Org="ISBN:3540418660"   Paper_ID="/252064.html"   Extracted="3540418660"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.5"   />

            <identifier   Org="ISBN:3540672591"   Paper_ID="/252064.html"   Extracted="3540672591"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.5"   />

      </rec>

      <rec   ID="/342113.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="Simulation   of   Zeno   hybrid   automata,">

            <identifier   Org="ISBN:0780365666"   Paper_ID="/342113.html"   Extracted="0780365666"   />

            <identifier   Org="ISBN:3540672591"   Paper_ID="/342113.html"   Extracted="3540672591"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="1.0"   />

      </rec>

      <rec   ID="/516929.html"   Type="inproceedings"   CiteSeer_Book="HSCC"   CiteSeer_Volume=""   Title="Dynamical   Systems   Revisited:   Hybrid   Systems   with   Zeno   Executions,">

            <identifier   Org="ISBN:0780365666"   Paper_ID="/516929.html"   Extracted="0780365666"   />

            <identifier   Org="ISBN:0817632395"   Paper_ID="/516929.html"   Extracted="0817632395"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:0817642978"   Paper_ID="/516929.html"   Extracted="0817642978"   DDC="621.3815/372"   Normalized_DDC="6213815372"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:3540009132"   Paper_ID="/516929.html"   Extracted="3540009132"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:3540418660"   Paper_ID="/516929.html"   Extracted="3540418660"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.2"   />

            <identifier   Org="ISBN:3540672591"   Paper_ID="/516929.html"   Extracted="3540672591"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.2"   />

      </rec>

      <rec   ID="/682514.html"   Type="misc"   CiteSeer_Book=""   CiteSeer_Volume=""   Title="Dynamical   properties   of   hybrid   automata,">

            <identifier   Org="ISBN:0080441319"   Paper_ID="/682514.html"   Extracted="0080441319"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0080443036"   Paper_ID="/682514.html"   Extracted="0080443036"   DDC="629.836"   Normalized_DDC="629836"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0780386361"   Paper_ID="/682514.html"   Extracted="0780386361"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0791837130"   Paper_ID="/682514.html"   Extracted="0791837130"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0817632395"   Paper_ID="/682514.html"   Extracted="0817632395"   DDC="629.8/9"   Normalized_DDC="62989"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0817643850"   Paper_ID="/682514.html"   Extracted="0817643850"   DDC="629.8/3"   Normalized_DDC="62983"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:0849390834"   Paper_ID="/682514.html"   Extracted="0849390834"   DDC="003/.76"   Normalized_DDC="00376"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:1402041365"   Paper_ID="/682514.html"   Extracted="1402041365"   DDC="629.892"   Normalized_DDC="629892"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:1846280397"   Paper_ID="/682514.html"   Extracted="1846280397"   DDC="515/.39"   Normalized_DDC="51539"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540251081"   Paper_ID="/682514.html"   Extracted="3540251081"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540712089"   Paper_ID="/682514.html"   Extracted="3540712089"   />

            <identifier   Org="ISBN:3540714928"   Paper_ID="/682514.html"   Extracted="3540714928"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540726985"   Paper_ID="/682514.html"   Extracted="3540726985"   DDC="629.8"   Normalized_DDC="6298"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540738894"   Paper_ID="/682514.html"   Extracted="3540738894"   DDC="514/.74"   Normalized_DDC="51474"   Normalized_Weight="0.07142857142857142"   />

            <identifier   Org="ISBN:3540789286"   Paper_ID="/682514.html"   Extracted="3540789286"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.07142857142857142"   />

      </rec>

      <rec   ID="SELF"   Type="SELF"   CiteSeer_Book="SELF"   CiteSeer_Volume="SELF"   Title="Towards   a   Geometric   Theory   of   Hybrid   Systems">

            <identifier   Org="ISBN:0780365666"   Paper_ID="SELF"   Extracted="0780365666"   />

            <identifier   Org="ISBN:0817642978"   Paper_ID="SELF"   Extracted="0817642978"   DDC="621.3815/372"   Normalized_DDC="6213815372"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:0821842463"   Paper_ID="SELF"   Extracted="0821842463"   DDC="629.8/9201514"   Normalized_DDC="62989201514"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:1846280397"   Paper_ID="SELF"   Extracted="1846280397"   DDC="515/.39"   Normalized_DDC="51539"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3527404309"   Paper_ID="SELF"   Extracted="3527404309"   DDC="670/.1/5118"   Normalized_DDC="67015118"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540208038"   Paper_ID="SELF"   Extracted="3540208038"   DDC="005.1/4"   Normalized_DDC="00514"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540251081"   Paper_ID="SELF"   Extracted="3540251081"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540418660"   Paper_ID="SELF"   Extracted="3540418660"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:354043321X"   Paper_ID="SELF"   Extracted="354043321X"   DDC="004.1/9"   Normalized_DDC="00419"   Normalized_Weight="0.1111111111111111"   />

            <identifier   Org="ISBN:3540440437"   Paper_ID="SELF"   Extracted="3540440437"   DDC="004/.35"   Normalized_DDC="00435"   Normalized_Weight="0.1111111111111111"   />

      </rec>

</references_metadata>

www.000webhost.com