Dissipativity based stability of switched systems with state-dependent switchings

Jun Zhao, David J. Hill

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

7 Citations (Scopus)


Stability problem of switched systems with state-dependent switchings is addressed. Sufficient conditions for stability are presented using dissipativity property of subsystems on their active regions. In these conditions, each storage function of a subsystem is allowed to grow on the "switched on" time sequence but the total growth is bounded in certain ways. Asymptotic stability is achieved under further assumptions of a detectability property of a local form and boundedness of the total change of some storage function on its inactive intervals. A necessary and sufficient condition for all subsystems to be dissipative on their active regions is given and a state-dependent switching law is designed. As a particular case, localized Kalman-Yakubovich-Popov conditions are derived for passivity. A condition for piecewise dissipativity property and a design method of switching laws are also proposed.

Original languageEnglish
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages6
ISBN (Print)1424414989, 9781424414987
Publication statusPublished - 2007
Externally publishedYes
EventIEEE Conference on Decision and Control 2007 - New Orleans, United States of America
Duration: 12 Dec 200714 Dec 2007
Conference number: 46th


ConferenceIEEE Conference on Decision and Control 2007
Abbreviated titleCDC 2007
Country/TerritoryUnited States of America
CityNew Orleans

Cite this