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

被引：42

作者：

Xie, Xue-Jun ^{[1
]}

Jiang, Mengmeng ^{[2
]}

机构：

[1] Qufu Normal Univ, Inst Automat, Qufu 273165, Shandong, Peoples R China

[2] Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Shandong, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2019年 / 64卷 / 12期

基金：

中国国家自然科学基金;

关键词：

State feedback; Nonlinear dynamical systems; Asymptotic stability; Stability criteria; Closed loop systems; Control design; Asymptotical stabilization; stochastic cascade nonlinear time-delay systems; stochastic input-to-state stability (SISS) inverse dynamics; state feedback; TRACKING CONTROL; STABILITY;

D O I：

10.1109/TAC.2019.2910166

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：5132 / 5139

页数：8

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