Stabilization and destabilization of hybrid systems by periodic stochastic controls

被引：25

作者：

Li, Xiaoyue ^{[1
]}

Liu, Wei ^{[2
]}

Mao, Xuerong ^{[3
]}

Zhao, Junsheng ^{[4
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[3] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland

[4] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2021年 / 152卷

基金：

英国工程与自然科学研究理事会;

关键词：

Nonlinear hybrid differential equation; Periodic stochastic control; Brownian motion; Markov chain; Stationary distribution; Stabilization; EQUATIONS; STABILITY;

D O I：

10.1016/j.sysconle.2021.104929

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 aims to determine whether or not a periodic stochastic feedback control can stabilize or destabilize a given nonlinear hybrid system. New methods are developed and sufficient conditions on the stability and instability for hybrid nonlinear systems with periodic stochastic perturbations are provided. These results are then used to examine stabilization and destabilization by periodic stochastic feedback controls, including intermittent stochastic controls. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：10

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