Stability of asynchronous two-dimensional Fornasini-Marchesini dynamical systems

被引：16
作者：
Bhaya, A
Kaszkurewicz, E
Su, Y
机构：
[1] Univ Fed Rio de Janeiro, COPPE, Dept Elect Engn, BR-21945970 Rio De Janeiro, Brazil
[2] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 332卷
关键词：
stability; 2D Fornasini-Marchesini model; asynchronous 2D systems; time shifts; boundary conditions; saturation;
D O I：
10.1016/S0024-3795(00)00317-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Conditions for stability of two-dimensional (2D) Fornasini-Marchesini (FM) models with variable shifts are derived using nonnegative matrix theory. The conditions are shift independent. The stability is proved under a general boundary condition (BC). (C) 2001 Elsevier Science Inc. All rights reserved.
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收藏
页码：257 / 263
页数：7
相关论文
共 20 条
[1]   A SURVEY OF ASYNCHRONOUS FINITE-DIFFERENCE METHODS FOR PARABOLIC PDES ON MULTIPROCESSORS [J].
AMITAI, D ;
AVERBUCH, A ;
ISRAELI, M ;
ITZIKOWITZ, S ;
TURKEL, E .
APPLIED NUMERICAL MATHEMATICS, 1993, 12 (1-3) :27-45
[2]  
BERMAN A, 1994, CLASSICS APPL APPL M
[3]  
Bertsekas Dimitri P., 1989, PARALLEL DISTRIBUTED
[4]   2S COMPLEMENT QUANTIZATION IN 2-DIMENSIONAL STATE-SPACE DIGITAL-FILTERS [J].
BOSE, T ;
TRAUTMAN, DA .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1992, 40 (10) :2589-2592
[5]   MODELS OF PARALLEL CHAOTIC ITERATION METHODS [J].
BRU, R ;
ELSNER, L ;
NEUMANN, M .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 103 :175-192
[6]  
CHAZAN D, 1969, LINEAR ALGEBRA APPL, V2, P190
[7]   CONVERGENCE OF SEQUENTIAL AND ASYNCHRONOUS NONLINEAR PARACONTRACTIONS [J].
ELSNER, L ;
KOLTRACHT, I ;
NEUMANN, M .
NUMERISCHE MATHEMATIK, 1992, 62 (03) :305-319
[8]   STATE-SPACE REALIZATION THEORY OF 2-DIMENSIONAL FILTERS [J].
FORNASINI, E ;
MARCHESINI, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (04) :484-492
[9]   STABILITY ANALYSIS OF 2-D SYSTEMS [J].
FORNASINI, E ;
MARCHESINI, G .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1980, 27 (12) :1210-1217
[10]   A 2-D SYSTEMS-APPROACH TO RIVER POLLUTION MODELING [J].
FORNASINI, E .
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1991, 2 (03) :233-265
12