The complementary-slackness class of hybrid systems
Identifieur interne : 002944 ( Istex/Corpus ); précédent : 002943; suivant : 002945The complementary-slackness class of hybrid systems
Auteurs : J. Van Der Schaft ; M. SchumacherSource :
- Mathematics of Control, Signals and Systems [ 0932-4194 ] ; 1996-09-01.
Abstract
Abstract: In this paper we understand a “hybrid system” to be one that combines features of continuous dynamical systems with characteristics of finite automata. We study a special class of such systems which we call the complementary-slackness class. We study existence and uniqueness of solutions in the special'cases oflinear andHamiltonian complementary-slackness systems. For the latter class we also prove an energy inequality.
Url:
DOI: 10.1007/BF02551330
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Box 217</Postbox><Postcode>7500 AE</Postcode><City>Enschede</City><Country>The Netherlands</Country></OrgAddress></Affiliation><Affiliation ID="Aff2"><OrgName>CWI</OrgName><OrgAddress><Postbox>P.O. Box 94079</Postbox><Postcode>1090 GB</Postcode><City>Amsterdam</City><Country>The Netherlands</Country></OrgAddress></Affiliation><Affiliation ID="Aff3"><OrgName>CWI</OrgName><OrgAddress><Postbox>P.O. Box 94079</Postbox><Postcode>1090 GB</Postcode><City>Amsterdam</City><Country>The Netherlands</Country></OrgAddress></Affiliation><Affiliation ID="Aff4"><OrgName>Tilburg University, CentER and Department of Economics</OrgName><OrgAddress><Postbox>P.O. Box 90153</Postbox><Postcode>5000 LE</Postcode><City>Tilburg</City><Country>The Netherlands</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En"><Heading>Abstract</Heading><Para>In this paper we understand a “hybrid system” to be one that combines features of continuous dynamical systems with characteristics of finite automata. We study a special class of such systems which we call the complementary-slackness class. We study existence and uniqueness of solutions in the special'cases of<Emphasis Type="Italic">linear</Emphasis> and<Emphasis Type="Italic">Hamiltonian</Emphasis> complementary-slackness systems. For the latter class we also prove an energy inequality.</Para></Abstract><KeywordGroup Language="En"><Heading>Key words</Heading><Keyword>Hybrid systems</Keyword><Keyword>Complementary slackness</Keyword><Keyword>Inequality constraints</Keyword><Keyword>Well-posedness</Keyword></KeywordGroup></ArticleHeader><NoBody></NoBody></Article></Issue></Volume></Journal></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>The complementary-slackness class of hybrid systems</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>The complementary-slackness class of hybrid systems</title></titleInfo><name type="personal"><namePart type="given">A.</namePart><namePart type="given">J.</namePart><namePart type="family">van der Schaft</namePart><affiliation>Systems and Control Group, Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands</affiliation><affiliation>CWI, P.O. 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