Stabilization by variable-delay feedback control for highly nonlinear hybrid stochastic differential delay equations

被引：16

作者：

Song, Ruili ^{[1
]}

Wang, Bo ^{[1
]}

Zhu, Quanxin ^{[2
]}

机构：

[1] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210023, Jiangsu, Peoples R China

[2] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2021年 / 157卷

基金：

中国国家自然科学基金;

关键词：

Variable-delay feedback control; Highly nonlinear; Hybrid stochastic differential equations with variable-delay; Asymptotical stability; Exponential stability; STABILITY; SYSTEMS; BOUNDEDNESS;

D O I：

10.1016/j.sysconle.2021.105041

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider a hybrid SDE (stochastic differential equation) with variable delays, which is unstable and its coefficients satisfy some polynomial growth conditions. We want to find a variable-delays feedback control such that the controlled hybrid SDE with variable delay becomes stable. We establish some novel stability criteria of the controlled SDE with variable delays. Our results improve the existing results from hybrid SDEs with constant-delays to hybrid SDEs with variable-delays. Finally, an example is given to confirm our results. (c) 2021 Elsevier B.V. All rights reserved.

引用

页数：8

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