A novel criterion for the global asymptotic stability of 2-D discrete systems described by Roesser model using saturation arithmetic

被引：22

作者：

Kar, Haranath ^{[1
]}

机构：

[1] Motilal Nehru Natl Inst Technol, Dept Elect & Commun Engn, Allahabad 211004, Uttar Pradesh, India

来源：

DIGITAL SIGNAL PROCESSING | 2010年 / 20卷 / 06期

关键词：

Asymptotic stability; Finite wordlength effects; Lyapunov methods; Multidimensional systems; Nonlinear systems; Saturation nonlinearity; 2-D discrete systems; SPACE DIGITAL-FILTERS; OVERFLOW OSCILLATIONS; TIME-SYSTEMS; LMI CONDITION; ABSENCE; NONLINEARITIES; NONEXISTENCE;

D O I：

10.1016/j.dsp.2010.02.008

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A novel criterion for the global asymptotic stability of two-dimensional (2-D) discrete systems described by the Roesser model employing saturation arithmetic is presented. The criterion is compared with previously reported criteria. Numerical examples showing the effectiveness of the present criterion are given. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1505 / 1510

页数：6

共 20 条

[1] STABILITY AND THE MATRIX LYAPUNOV EQUATION FOR DISCRETE TWO-DIMENSIONAL SYSTEMS [J].

ANDERSON, BDO ;

AGATHOKLIS, P ;

JURY, EI ;

MANSOUR, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (03) :261-267

[2] Comments on "stability and absence of overflow oscillations for 2-D discrete-time systems" [J].

Bauer, PH ;

Ralev, KR .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (03) :803-804

[3]

Boyd S., 1994, LINEAR MATRIX INEQUA

[4] 2-DIMENSIONAL DIGITAL-FILTERS WITH NO OVERFLOW OSCILLATIONS [J].

ELAGIZI, NG ;

FAHMY, MM .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1979, 27 (05) :465-469

[5]

Gahinet P., 1995, LMI Control Toolbox

[6]

Kaczorek T., 1985, 2 DIMENSIONAL LINEAR

[7] Stability analysis of 2-D digital filters with saturation arithmetic: An LMI approach [J].

Kar, H ;

Singh, V .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2005, 53 (06) :2267-2271

[8] Stability analysis of 2-D state-space digital filters with overflow nonlinearities [J].

Kar, H ;

Singh, V .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :598-601

[9] Comments on 'New LMI condition for the nonexistence of overflow oscillations in 2-D state-space digital filters using saturation arithmetic' [J].

Kar, Haranath .

DIGITAL SIGNAL PROCESSING, 2008, 18 (02) :148-150

[10] A new sufficient condition for the global asymptotic stability of 2-D state-space digital filters with saturation arithmetic [J].

Kar, Haranath .

SIGNAL PROCESSING, 2008, 88 (01) :86-98

← 1 2 →