Stabilization for decomposable dissipative discrete-time switched systems

Bin Liu*, David J. Hill

*Corresponding author for this work

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

    4 Citations (Scopus)


    This paper investigates stabilization issue for decomposable dissipative discretetime switched systems. Firstly, the decomposable dissipativity is discussed for discrete-time switched systems (DSS). Then, uniform stabilization conditions are derived for a ?-geometric decomposable dissipative DSS. The results are then specialized to the linear DSS with quadratic supply rate. The linear matrix inequality (LMI) conditions for ?-geometric dissipativity are derived. These LMI conditions are used to design feedback controllers to stabilize uniformly the linear ?-geometric decomposable dissipative DSS. Finally, one example is given for illustration.

    Original languageEnglish
    Title of host publicationProceedings of the 18th IFAC World Congress
    PublisherIFAC Secretariat
    Number of pages6
    Edition1 PART 1
    ISBN (Print)9783902661937
    Publication statusPublished - 2011

    Publication series

    NameIFAC Proceedings Volumes (IFAC-PapersOnline)
    Number1 PART 1
    ISSN (Print)1474-6670


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