Article: Decomposable dissipativity and related stability for discrete-time switched systems

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TitleDecomposable dissipativity and related stability for discrete-time switched systems
AuthorsLiu, B2
Hill, DJ1
KeywordsDecomposable Dissipativity
Discrete-Time Switched Systems
Dissipativity
Main/Subsidiary Supply Rate
Stability
Issue Date2011
CitationIeee Transactions On Automatic Control, 2011, v. 56 n. 7, p. 1666-1671 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TAC.2011.2121430
AbstractThis note investigates dissipativity and related stability for discrete-time switched systems. The new concept of decomposable dissipativity is proposed for this kind of systems. By decomposing the supply rate into the main supply rate and the subsidiary supply rate, the energy changes of subsystems and energy dissipation in the whole switched system are explained. The uniform stability conditions are derived for decomposable dissipative discrete-time switched systems. By the decomposition of supply rate, the non-positive condition of the supply rate, which is often required in the literature to derive stability, is relaxed. Finally, one example is given to illustrate the results. © 2011 IEEE.
ISSN0018-9286
2011 Impact Factor: 2.11
2011 SCImago Journal Rankings: 0.097
DOIhttp://dx.doi.org/10.1109/TAC.2011.2121430
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorLiu, B
dc.contributor.authorHill, DJ
dc.date.accessioned2012-10-25T04:54:28Z
dc.date.available2012-10-25T04:54:28Z
dc.date.issued2011
dc.description.abstractThis note investigates dissipativity and related stability for discrete-time switched systems. The new concept of decomposable dissipativity is proposed for this kind of systems. By decomposing the supply rate into the main supply rate and the subsidiary supply rate, the energy changes of subsystems and energy dissipation in the whole switched system are explained. The uniform stability conditions are derived for decomposable dissipative discrete-time switched systems. By the decomposition of supply rate, the non-positive condition of the supply rate, which is often required in the literature to derive stability, is relaxed. Finally, one example is given to illustrate the results. © 2011 IEEE.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationIeee Transactions On Automatic Control, 2011, v. 56 n. 7, p. 1666-1671 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TAC.2011.2121430
dc.identifier.doihttp://dx.doi.org/10.1109/TAC.2011.2121430
dc.identifier.epage1671
dc.identifier.issn0018-9286
2011 Impact Factor: 2.11
2011 SCImago Journal Rankings: 0.097
dc.identifier.issue7
dc.identifier.scopuseid_2-s2.0-79960110754
dc.identifier.spage1666
dc.identifier.urihttp://hdl.handle.net/10722/169730
dc.identifier.volume56
dc.languageeng
dc.publisher.placeUnited States
dc.relation.ispartofIEEE Transactions on Automatic Control
dc.relation.referencesReferences in Scopus
dc.subjectDecomposable Dissipativity
dc.subjectDiscrete-Time Switched Systems
dc.subjectDissipativity
dc.subjectMain/Subsidiary Supply Rate
dc.subjectStability
dc.titleDecomposable dissipativity and related stability for discrete-time switched systems
dc.typeArticle
Author Affiliations
  1. NICTA
  2. Australian National University