Stabilization of Stochastic Retarded Systems Based on Sampled-Data Feedback Control

被引：23
|
作者：
Yang, Xuetao [1 ,2 ]
Zhu, Quanxin [1 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Peoples R China
[2] Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210023, Peoples R China
来源：
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2021年 / 51卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Feedback control; Delays; Stochastic processes; Differential equations; Delay effects; Stochastic systems; Feeds; Mean square exponential stabilization; sampled-data feedback control; stochastic retarded system; RAZUMIKHIN-TYPE THEOREMS; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; DELAY SYSTEMS; NONLINEAR-SYSTEMS;
D O I：
10.1109/TSMC.2019.2956757
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Throughout this article, we study the mean square exponential stabilization of stochastic retarded systems described by stochastic functional differential equations (SFDEs). Different from the traditional feedback controls with continuous observation of state, we put forward a novel sampled-data feedback control depending on the discrete observation of state and time delay. It greatly enlarges the probability of finding discrete-time feedback controls for stochastic retarded systems. In addition, the novel sampled-data feedback control succeeds in handling the delays involved in SFDEs. As applications, we provide two examples with simulation figures to illustrate the main result.
引用
收藏
页码：5895 / 5904
页数：10
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