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 22 条

[1]

[Anonymous], 2001, LECT NOTES CONTROL I

[2] A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components [J].

Du, B. ;

Lam, J. ;

Shu, Z. ;

Wang, Z. .

IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (04) :383-390

[3] Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay [J].

Gao, H ;

Lam, J ;

Wang, C ;

Wang, Y .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (06) :691-698

[4] New results on stability of discrete-time systems with time-varying state delay [J].

Gao, Huijun ;

Chen, Tongwen .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :328-334

[5] Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties [J].

He, Y ;

Wu, M ;

She, JH ;

Liu, GP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) :828-832

[6] Delay-range-dependent stability for systems with time-varying delay [J].

He, Yong ;

Wang, Qing-Guo ;

Lin, Chong ;

Wu, Min .

AUTOMATICA, 2007, 43 (02) :371-376

[7]

IZUTA G, 2006, INT CONTR AUT 2006 W, P695

[8]

Kaczorek T., 1984, 2 DIMENSIONAL LINEAR

[9] An algebraic approach to strong stabilizability of linear ηD MIMO systems [J].

Lin, ZP ;

Ying, JQ ;

Xu, L .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (09) :1510-1514

[10]

Lin ZP, 2001, T&F S SYST CONTR, P59

← 1 2 3 →