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

页码：1483 / 1502

页数：20

共 50 条

[1] Stabilization of hybrid stochastic systems with time-varying delay by discrete-time state feedback control
Mao, Wei
Xiao, Xiao
Miao, Liangliang
Hu, Liangjian
[J]. ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2023, 2023 (01):
[2] Stabilization of hybrid stochastic systems with time-varying delay by discrete-time state feedback control
Wei Mao
Xiao Xiao
Liangliang Miao
Liangjian Hu
[J]. Advances in Continuous and Discrete Models, 2023
[3] State feedback stabilization of nonlinear discrete-time systems with time-varying time delay
Boukas, E. K.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (06) : 1341 - 1350
[4] Delay-dependent robust stabilisation of discrete-time systems with time-varying delay
Liu, X. G.
Martin, R. R.
Wu, M.
Tang, M. L.
[J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (06): : 689 - 702
[5] Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay
Gao, H
Lam, J
Wang, C
Wang, Y
[J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (06): : 691 - 698
[6] Robust stabilization of hybrid uncertain stochastic systems with time-varying delay by discrete-time feedback control
Li, Yuyuan
Kou, Chunhai
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[7] Robust stabilization of hybrid uncertain stochastic systems with time-varying delay by discrete-time feedback control
Yuyuan Li
Chunhai Kou
[J]. Advances in Difference Equations, 2017
[8] Output feedback stabilization for discrete-time systems with a time-varying delay
He Yong
Wu Min
Liu Guoping
She Jinhua
[J]. PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 3, 2007, : 64 - +
[9] Compensation of time-varying input delay for discrete-time nonlinear systems
Choi, Joon-Young
Krstic, Miroslav
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (08) : 1755 - 1776
[10] Delay-dependent stabilization of Stochastic discrete-time systems with time-varying time-delay
Boukas, El-Kebir
Liu, Huaping
[J]. 2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 2342 - +

← 1 2 3 4 5 →