Stabilization of a class of stochastic feedforward uncertain systems via time-varying state feedback

Ticao Jiao, Wei Xing Zheng

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

Abstract

This paper is devoted to the stabilization problem for a class of stochastic feedforward nonlinear systems with unknown growth rate by time-varying state feedback. As the first contribution, a general LaSalle-type theorem is established for stochastic time-varying systems with the aid of the generalized weakly positive definite function. Then a time-varying state feedback control scheme is established for a class of stochastic feedforward systems with uncertainties in the unknown growth rate. Via the established LaSalle-type theorem, it is shown that all signals of the resulting closed-loop system converge to zero almost surely. A numerical example is presented to demonstrate the validity of the theoretical results.
Original languageEnglish
Title of host publicationProceedings of the 36th Chinese Control Conference, 26-28 July 2017, Dalian, China
PublisherIEEE
Pages1734-1739
Number of pages6
ISBN (Print)9789881563934
DOIs
Publication statusPublished - 2017
EventChinese Control Conference -
Duration: 26 Jul 2017 → …

Publication series

Name
ISSN (Print)1934-1768

Conference

ConferenceChinese Control Conference
Period26/07/17 → …

Keywords

  • feedforward control systems
  • nonlinear systems
  • stabilization
  • stochastic systems
  • time delay systems

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