Some results on finite-time stabilization of Markovian jump nonlinear quadratic systems

Yunliang Wei, Wei Xing Zheng

    Research output: Chapter in Book / Conference PaperConference Paperpeer-review

    Abstract

    ![CDATA[The behaviors of a dynamical system over the finite-time interval are often of great importance in many practical situations. In this paper the problem of stabilizing a class of discrete-time Markovian jump nonlinear quadratic systems with partial knowledge on transition probabilities over the finite-time interval is addressed. First, sufficient conditions that warrant the finite-time stochastic boundedness of the system are established. Then, similar conditions that warrant the finite-time stochastic stability of the nonlinear quadratic systems without exogenous disturbance are also derived. Next, design of mode-dependent state feedback controllers that stabilize Markovian jump nonlinear quadratic systems with/without exogenous disturbance is presented. Finally, the obtained theoretical results are evaluated using an illustrative example.]]
    Original languageEnglish
    Title of host publicationProceedings of 2014 33rd Chinese Control Conference (CCC 2014), Nanjing, China, 28-30 July 2014
    PublisherIEEE
    Pages2299-2304
    Number of pages6
    ISBN (Print)9789881563842
    DOIs
    Publication statusPublished - 2014
    EventChinese Control Conference -
    Duration: 28 Jul 2014 → …

    Publication series

    Name
    ISSN (Print)1934-1768

    Conference

    ConferenceChinese Control Conference
    Period28/07/14 → …

    Keywords

    • control theory
    • nonlinear systems
    • stability

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