Delay-Dependent Energy-to-Peak Stability of 2-D Time-Delay Roesser Systems With Multiplicative Stochastic Noises

被引：21

作者：

Le Van Hien ^{[1
]}

Hieu Trinh ^{[2
]}

Nguyen Thi Lan-Huong ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi 100000, Vietnam

[2] Deakin Univ, Sch Engn, Geelong, Vic 3217, Australia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2019年 / 64卷 / 12期

关键词：

Delays; Stochastic processes; Numerical stability; Asymptotic stability; Circuit stability; Stability criteria; Energy-to-peak stochastic stability (EPSS); multiplicative noises; roesser model; two-dimensional (2-D) systems; 2-DIMENSIONAL DIGITAL-FILTERS; ITERATIVE LEARNING CONTROL; DISCRETE-SYSTEMS; SWITCHED SYSTEMS; VARYING DELAYS; MODEL; STABILIZATION; CRITERION;

D O I：

10.1109/TAC.2019.2907888

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the problem of energy-to-peak stochastic stability (EPSS) of two-dimensional (2-D) Roesser systems in the presence of state time-varying delays and multiplicative noises. First, a scheme that ensures a 2-D stochastic time-delay system is stochastically stable with an attenuation performance is proposed. The scheme presented in this paper can be regarded as an extension of the Lyapunov-Krasovskii functional method for 2-D stochastic time-delay systems, focusing on the EPSS problem. The proposed scheme is then utilized to derive delay-dependent EPSS conditions in terms of tractable linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the derived stability conditions.

引用

页码：5066 / 5073

页数：8

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