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Conference Paper: Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity

TitleStabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity
Authors
KeywordsDihs
Dissipativity
Iss
Mixed K -Dissipativity
Network Via Impulsive Interconnections
Stabilization
Issue Date2011
Citation
Proceedings Of The 30Th Chinese Control Conference, Ccc 2011, 2011, p. 1753-1758 How to Cite?
Abstract
This 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.
Persistent Identifierhttp://hdl.handle.net/10722/169831
References

 

DC FieldValueLanguage
dc.contributor.authorLiu, Ben_US
dc.contributor.authorLiu, Ten_US
dc.contributor.authorHill, DJen_US
dc.date.accessioned2012-10-25T04:55:56Z-
dc.date.available2012-10-25T04:55:56Z-
dc.date.issued2011en_US
dc.identifier.citationProceedings Of The 30Th Chinese Control Conference, Ccc 2011, 2011, p. 1753-1758en_US
dc.identifier.urihttp://hdl.handle.net/10722/169831-
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.en_US
dc.languageengen_US
dc.relation.ispartofProceedings of the 30th Chinese Control Conference, CCC 2011en_US
dc.subjectDihsen_US
dc.subjectDissipativityen_US
dc.subjectIssen_US
dc.subjectMixed K -Dissipativityen_US
dc.subjectNetwork Via Impulsive Interconnectionsen_US
dc.subjectStabilizationen_US
dc.titleStabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativityen_US
dc.typeConference_Paperen_US
dc.identifier.emailHill, DJ:en_US
dc.identifier.authorityHill, DJ=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-80053065847en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80053065847&selection=ref&src=s&origin=recordpageen_US
dc.identifier.spage1753en_US
dc.identifier.epage1758en_US
dc.identifier.scopusauthoridLiu, B=36079151900en_US
dc.identifier.scopusauthoridLiu, T=8656182400en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US

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