Stabilization of hybrid stochastic systems with time-varying delay by discrete-time state feedback control

被引：1

作者：

Mao, Wei ^{[1
]}

Xiao, Xiao ^{[1
]}

Miao, Liangliang ^{[1
]}

Hu, Liangjian ^{[2
]}

机构：

[1] Jiangsu Second Normal Univ, Res Ctr Elementary Educ & Big Data, Sch Math Sci & Jiangsu Prov Engn, Nanjing 210013, Peoples R China

[2] Donghua Univ, Dept Stat, Shanghai 201620, Peoples R China

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2023年 / 2023卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Hybrid stochastic delay systems; Stabilization; Variable delay; Discrete-time state feedback control; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; DESTABILIZATION;

D O I：

10.1186/s13662-023-03759-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the stabilization of hybrid stochastic systems with variable delay by discrete-time state feedback control. By using Lyapunov functionals, we obtain an upper bound tau* on the duration tau between two consecutive state observations. Meantime, we show that hybrid stochastic systems with variable delay can be stabilized by discrete-time state feedback control as long as tau < tau*. Finally, two examples are given to demonstrate the applicability of our work.

引用

页数：19

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