Dynamic State Feedback Stabilization of Stochastic Cascade Nonlinear Time-Delay Systems With SISS Inverse Dynamics

This paper investigates state feedback stabilization problem of a class of stochastic cascade nonlinear time-delay systems with stochastic inverse dynamics. By characterizing unmeasured stochastic inverse dynamics with stochastic input-to-state stability condition, without imposing any growth condit...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 64; no. 12; pp. 5132 - 5139
Main Authors Xie, Xue-Jun, Jiang, Mengmeng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Asymptotic stability
Asymptotical stabilization
Closed loop systems
Control design
Dynamic stability
Feedback control
Inverse dynamics
Nonlinear dynamical systems
Nonlinear systems
Stability criteria
State feedback
stochastic cascade nonlinear time-delay systems
stochastic input-to-state stability (SISS) inverse dynamics
Time delay systems
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Summary:This paper investigates state feedback stabilization problem of a class of stochastic cascade nonlinear time-delay systems with stochastic inverse dynamics. By characterizing unmeasured stochastic inverse dynamics with stochastic input-to-state stability condition, without imposing any growth condition on time-delay system nonlinearities, a delay-independent, dynamic state feedback controller is constructed. It is shown that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2019.2910166