Robust stability of 2-D discrete systems employing generalized overflow nonlinearities: An LMI approach

被引：34

作者：

Dey, Anurita ^{[1
]}

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 | 2011年 / 21卷 / 02期

关键词：

Linear matrix inequality; Lyapunov stability; Nonlinear systems; Robust stability; 2-D systems; Uncertain systems; MARCHESINI 2ND MODEL; DIGITAL-FILTERS; STABILIZATION;

D O I：

10.1016/j.dsp.2010.06.010

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：

This paper deals with the problem of global asymptotic stability of a class of uncertain discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities. The systems under investigation involve parameter uncertainties that are assumed to be deterministic and norm bounded. An LMI-based criterion for the global asymptotic stability of such systems is proposed. The proposed criterion is compared with previously reported criteria. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：262 / 269

页数：8

共 32 条

[1] Stability of asynchronous two-dimensional Fornasini-Marchesini dynamical systems [J].

Bhaya, A ;

Kaszkurewicz, E ;

Su, Y .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 332 :257-263

[2]

Bose N.K., 1982, APPL MULTIDIMENSIONA

[3] Stability of two-dimensional discrete systems with periodic coefficients [J].

Bose, T ;

Chen, MQ ;

Joo, KS ;

Xu, GF .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 1998, 45 (07) :839-847

[4]

Boyd S., 1994, LINEAR MATRIX INEQUA

[5]

BRACEWELL RN, 1995, PRENTICE HALL SIGNAL

[6]

Butterweck H.J., 1988, 88E205 EUT

[7] EFFECTS OF QUANTIZATION AND OVERFLOW IN RECURSIVE DIGITAL-FILTERS [J].

CLAASEN, TACM ;

MECKLENBRAUKER, WFG ;

PEEK, JBH .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1976, 24 (06) :517-529

[8]

Dewasurendra Duminda A., 2008, 2008 15th IEEE International Conference on Electronics, Circuits and Systems (ICECS 2008), P1191, DOI 10.1109/ICECS.2008.4675072

[9] Stability analysis and stabilization of uncertain two-dimensional discrete systems: An LMI approach [J].

Du, C ;

Xie, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (11) :1371-1374

[10] STABILITY ANALYSIS OF FIXED-POINT DIGITAL-FILTERS USING COMPUTER GENERATED LYAPUNOV FUNCTIONS .1. DIRECT FORM AND COUPLED FORM FILTERS [J].

ERICKSON, KT ;

MICHEL, AN .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1985, 32 (02) :113-132

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