Stabilisation of nonlinear hybrid stochastic systems with time-varying delay by discrete-time feedback controls with a time delay

被引：2
|
作者：
Lu, Jianqiu [1 ]
Lu, Yun [1 ]
Wang, Simin [1 ]
Hu, Liangjian [1 ]
Jiang, Yanan [2 ]
机构：
[1] Donghua Univ, Dept Stat, Shanghai, Peoples R China
[2] Donghua Univ, Sch Informat Sci & Technol, Shanghai 201620, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2022年 / 53卷 / 07期
关键词：
Hybrid stochastic systems; time-varying delay; Lyapunov functional; H-infinity stability; asymptotic stability; exponential stability; feedback control; discrete-time state and mode observations; PTH MOMENT STABILITY; H-INFINITY CONTROL; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; JUMPING SYSTEMS; NEURAL-NETWORKS; STATE;
D O I：
10.1080/00207721.2021.2010832
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate stabilisation of hybrid stochastic systems with time-varying delay by feedback control based on discrete-time state and mode observations with a time delay. By constructing a proper Lyapunov functional, the H-infinity, asymptotic and exponential stability of the controlled systems are studied in the pth moment sense for p > 1. Meanwhile, we obtain the upper bound on the duration tau between two consecutive state and mode observations. At last, two numerical examples are illustrated to support our theoretical results.
引用
收藏
页码：1483 / 1502
页数：20
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