• DocumentCode
    66363
  • Title

    Feedback Stabilization of Bernoulli Jump Nonlinear Systems: A Passivity-Based Approach

  • Author

    Yingbo Zhao ; Gupta, Vijay

  • Author_Institution
    Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA
  • Volume
    60
  • Issue
    8
  • fYear
    2015
  • fDate
    Aug. 2015
  • Firstpage
    2254
  • Lastpage
    2259
  • Abstract
    We study feedback stabilization of a Bernoulli jump nonlinear system. First, the relationship between stochastic passivity and stochastic stability is established. A state feedback controller that stabilizes a wide class of Bernoulli jump nonlinear systems is then designed using passivity-based tools. The advantage of our approach is that the nonlinear dynamics can be non-affine in the control input.
  • Keywords
    control system synthesis; nonlinear control systems; nonlinear dynamical systems; stability; state feedback; stochastic systems; Bernoulli jump nonlinear system; feedback stabilization; nonlinear dynamics; stochastic passivity; stochastic stability; Control systems; Delays; Linear systems; Nonlinear systems; Random variables; Stability criteria; Bernoulli jump nonlinear systems; passivity;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2014.2375771
  • Filename
    6971169
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=66363