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Conference Paper: Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity
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TitleStabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity
 
AuthorsLiu, B2
Liu, T2
Hill, DJ1
 
KeywordsDihs
Dissipativity
Iss
Mixed K -Dissipativity
Network Via Impulsive Interconnections
Stabilization
 
Issue Date2011
 
CitationProceedings Of The 30Th Chinese Control Conference, Ccc 2011, 2011, p. 1753-1758 [How to Cite?]
 
AbstractThis paper studies the stabilization to ISS (input-to-state stability) issue for discrete-time impulsive hybrid systems (DIHS) with mixed K -dissipativity property. Firstly, the new concept of mixed K -dissipativity is proposed for DIHS. Then, the criteria of stabilization in the sense of ISS are derived for mixed K -dissipative DIHS. It shows that for a mixed K -dissipative DIHS, under the same state feedback control, even if all subsystems have no ISS, the whole DIHS may still has ISS property. The results are then used to study the case of network via impulsive interconnections. The linear matrix inequality (LMI) conditions for K -dissipativity of every DIHS in the network under the mixed quadratic supply rate are derived. Moreover, the interconnection control is designed to stabilize the network to ISS. Finally, one example is given for illustration. © 2011 Chinese Assoc of Automati.
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorLiu, B
 
dc.contributor.authorLiu, T
 
dc.contributor.authorHill, DJ
 
dc.date.accessioned2012-10-25T04:55:56Z
 
dc.date.available2012-10-25T04:55:56Z
 
dc.date.issued2011
 
dc.description.abstractThis paper studies the stabilization to ISS (input-to-state stability) issue for discrete-time impulsive hybrid systems (DIHS) with mixed K -dissipativity property. Firstly, the new concept of mixed K -dissipativity is proposed for DIHS. Then, the criteria of stabilization in the sense of ISS are derived for mixed K -dissipative DIHS. It shows that for a mixed K -dissipative DIHS, under the same state feedback control, even if all subsystems have no ISS, the whole DIHS may still has ISS property. The results are then used to study the case of network via impulsive interconnections. The linear matrix inequality (LMI) conditions for K -dissipativity of every DIHS in the network under the mixed quadratic supply rate are derived. Moreover, the interconnection control is designed to stabilize the network to ISS. Finally, one example is given for illustration. © 2011 Chinese Assoc of Automati.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationProceedings Of The 30Th Chinese Control Conference, Ccc 2011, 2011, p. 1753-1758 [How to Cite?]
 
dc.identifier.epage1758
 
dc.identifier.scopuseid_2-s2.0-80053065847
 
dc.identifier.spage1753
 
dc.identifier.urihttp://hdl.handle.net/10722/169831
 
dc.languageeng
 
dc.relation.ispartofProceedings of the 30th Chinese Control Conference, CCC 2011
 
dc.relation.referencesReferences in Scopus
 
dc.subjectDihs
 
dc.subjectDissipativity
 
dc.subjectIss
 
dc.subjectMixed K -Dissipativity
 
dc.subjectNetwork Via Impulsive Interconnections
 
dc.subjectStabilization
 
dc.titleStabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity
 
dc.typeConference_Paper
 
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Author Affiliations
  1. University of Sydney
  2. Australian National University