Robust stability of discrete-time state-delayed systems employing generalized overflow nonlinearities

被引:31
作者
Kandanvli, V. Krishna Rao [1 ]
Kar, Haranath [1 ]
机构
[1] Motilal Nehru Natl Inst Technol, Dept Elect & Commun Engn, Allahabad 211004, Uttar Pradesh, India
关键词
Asymptotic stability; Finite word length effects; Linear matrix inequality; Lyapunov stability; Nonlinear systems; State-delayed systems; Uncertain systems;
D O I
10.1016/j.na.2007.08.050
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
This paper considers the problem of global asymptotic stability of a class of nonlinear uncertain discrete-time state-delayed systems. The class of systems under investigation involves multiple state delays, norm-bounded parameter uncertainties, and generalized overflow nonlinearities which cover usual types of overflow arithmetic used in practice. A new criterion for the global asymptotic stability of such systems is presented. A numerical example is given to illustrate the applicability of the criterion presented. presented. (C)2007 Elsevicr Ltd. All rights reserved.
引用
收藏
页码:2780 / 2787
页数:8
相关论文
共 43 条
[1]
Techniques for the measurement and decomposition of the time varying narrow bandwidth transfer function of an HF sky wave transmission [J].
Baker, PW ;
Clarke, RH ;
Massie, AD ;
Taylor, D .
RADIO SCIENCE, 1997, 32 (05) :1813-1820
[2]
Joint intersymbol and multiple-access interference suppression algorithms for CDMA systems [J].
Beheshti, S ;
Wornell, GW ;
Isabelle, SH .
EUROPEAN TRANSACTIONS ON TELECOMMUNICATIONS, 1998, 9 (05) :403-418
[3]
BOSE T, 1990, IEEE T CIRCUITS SYST, V37, P568
[4]
LIMIT-CYCLES DUE TO ROUNDOFF IN STATE-SPACE DIGITAL-FILTERS [J].
BOSE, T ;
BROWN, DP .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1990, 38 (08) :1460-1462
[5]
OVERFLOW OSCILLATIONS IN STATE-SPACE DIGITAL-FILTERS [J].
BOSE, T ;
CHEN, MQ .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (07) :807-810
[6]
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[7]
Control of a hands-free telephone set [J].
Breining, C .
SIGNAL PROCESSING, 1997, 61 (02) :131-143
[8]
Delay-dependent guaranteed cost control for uncertain discrete-time systems with both state and input delays [J].
Chen, WH ;
Guan, ZH ;
Lu, XM .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2004, 341 (05) :419-430
[9]
Bounds of the induced norm and model reduction errors for systems with repeated scalar nonlinearities [J].
Chu, YC ;
Glover, K .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (03) :471-483
[10]
Stabilization and performance synthesis for systems with repeated scalar nonlinearities [J].
Chu, YC ;
Glover, K .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (03) :484-496