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

被引：23

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

共 50 条

[41] Delay-dependent stability of a class of stochastic delay systems driven by G-Brownian motion
Yao, Shenghao
Zong, Xiaofeng
IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (06) : 834 - 842
[42] DELAY-DEPENDENT STABILITY ANALYSIS FOR DISCRETE-TIME SYSTEMS WITH TIME VARYING STATE DELAY
Stojanovic, Sreten B.
Debeljkovic, Dragutin L. J.
CHEMICAL INDUSTRY & CHEMICAL ENGINEERING QUARTERLY, 2011, 17 (04) : 497 - 504
[43] Delay-Dependent Stability for Discrete 2D Switched Systems with State Delays in the Roesser Model
Shipei Huang
Zhengrong Xiang
Circuits, Systems, and Signal Processing, 2013, 32 : 2821 - 2837
[44] Delay-Dependent Stability Analysis for Uncertain Switched Time-Delay Systems Using Average Dwell Time
Zhang, Yangming
Yan, Peng
MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[45] Improved conditions for delay-dependent robust stability and stabilization of uncertain discrete time-delay systems
Xu, SY
Lam, J
Zou, Y
ASIAN JOURNAL OF CONTROL, 2005, 7 (03) : 344 - 348
[46] Delay-dependent robust H∞ control for uncertain time-delay systems
Su, NJ
Su, HY
Chu, J
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2003, 150 (05): : 489 - 492
[47] Improved delay-dependent stabilization of time-delay systems with actuator saturation
Dey, Rajeeb
Ghosh, Sandip
Ray, Goshaidas
Rakshit, Anjan
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (05) : 902 - 917
[48] Delay-Dependent Robust Stability of Uncertain Nonlinear Stochastic Systems with Time-Varying Delay
Wang, Cheng
Xu, Yun
ADVANCES IN COMPUTER SCIENCE, ENVIRONMENT, ECOINFORMATICS, AND EDUCATION, PT III, 2011, 216 : 424 - 429
[49] Delay-dependent robust stability criteria of uncertain stochastic systems with time-varying delay
Yan, Huaicheng
Huang, Xinhan
Zhang, Hao
Wang, Min
CHAOS SOLITONS & FRACTALS, 2009, 40 (04) : 1668 - 1679
[50] Delay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay
Sun, Ji-tao
Wang, Qing-guo
Gao, Han-qiao
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2010, 31 (02) : 255 - 262

← 1 2 3 4 5 →