Stability Analysis for 2-D Discrete Systems with Varying Delay

被引：0

作者：

Ye, Shuxia ^{[1
]}

Wang, Weiqun ^{[2
]}

Yao, Juan ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Peoples R China

来源：

11TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION (ICARCV 2010) | 2010年

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

stability; 2-D discrete systems; linear matrix inequalities (LMIs); TIME-SYSTEMS; FEEDBACK STABILIZABILITY; DEPENDENT STABILITY; ROBUST STABILITY; STABILIZATION;

D O I：

暂无

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 stability analysis for two-dimensional (2-D) discrete systems described by the Roesser models (RM) with varying delay in the state. By utilizing the delay partitioning idea and the Lyapunov method, a new stability criteria is proposed in terms of linear matrix inequalities (LMIs). This result is delay-dependent and also dependent on the partitioning size. A numerical example is given to demonstrate the effectiveness and the benefits of the presented methods.

引用

页码：67 / 72

页数：6

共 50 条

[31] Stability analysis for uncertain switched neutral systems with discrete time-varying delay: A delay-dependent method [J].

Liu, Duyu ;

Zhong, Shouming ;

Liu, Xinzhi ;

Huang, Yuanqing .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 80 (02) :436-448

[32] Stability analysis and stabilization for discrete-time singular delay systems [J].

Sun, Xin ;

Zhang, Qingling ;

Yang, Chunyu ;

Su, Zhan .

JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2011, 22 (03) :482-487

[33] The delay-range-dependent robust stability analysis for 2-D state-delayed systems with uncertainty [J].

Yao, Juan ;

Wang, Weiqun ;

Zou, Yun .

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2013, 24 (01) :87-103

[34] A Delay Decomposition Approach to the Stability Analysis of Singular Systems with Interval Time-Varying Delay [J].

Jiao, Jianmin ;

Zhang, Rui .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014

[35] A delay decomposition approach to robust stability analysis of uncertain systems with time-varying delay [J].

Liu, Pin-Lin .

ISA TRANSACTIONS, 2012, 51 (06) :694-701

[36] 2-d algebraic test for stability of time-delay systems [J].

Xiao, Y .

PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 :3351-3356

[37] METHOD FOR COMPUTING THE STABILITY MARGIN OF 2-D DISCRETE-SYSTEMS [J].

TZAFESTAS, S ;

KANELLAKIS, A ;

THEODOROU, N .

ELECTRONICS LETTERS, 1990, 26 (15) :1139-1140

[38] Improved Stability Conditions for Systems with Interval Time-Varying Delay [J].

Qian, Wei ;

Cong, Shen ;

Li, Tao ;

Fei, Shumin .

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2012, 10 (06) :1146-1152

[39] H∞ Performance Analysis of 2D Continuous Time-Varying Delay Systems [J].

Ghamgui, Mariem ;

Yeganefar, Nima ;

Bachelier, Olivier ;

Mehdi, Driss .

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015, 34 (11) :3489-3504

[40] A new method for computing the stability margin of 2-D discrete systems [J].

Mastorakis, NE .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (11) :1363-1365

← 1 2 3 4 5 →