ABSOLUTE STABILITY CONDITIONS FOR DISCRETE-TIME RECURRENT NEURAL NETWORKS

被引：64
作者：
JIN, L
NIKIFORUK, PN
GUPTA, MM
机构：
[1] The authors are with the Intelligent Systems Research Laboratory, College of Engineering, University of Saskatchewan, Saskatoon, SK
来源：
IEEE TRANSACTIONS ON NEURAL NETWORKS | 1994年 / 5卷 / 06期
关键词：
D O I：
10.1109/72.329693
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, an analysis of the absolute stability for a general class of discrete-time recurrent neural networks (RNN's) is presented. A discrete-time model of RNN's is represented by a set of nonlinear difference equations. Some sufficient conditions for the absolute stability are derived using Ostrowski's theorem and the similarity transformation approach. For a given RNN model, these conditions are determined by the synaptic weight matrix of the network. The results reported in this paper need fewer constraints on the weight matrix and the model than in previously published studies.
引用
收藏
页码：954 / 964
页数：11
相关论文
共 25 条
[1]  
ANDERSON JA, 1988, NEUROCOMPUTING F RES
[2]   AN ANALOG FEEDBACK ASSOCIATIVE MEMORY [J].
ATIYA, A ;
ABUMOSTAFA, YS .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1993, 4 (01) :117-126
[3]   STABILITY OF FIXED-POINTS AND PERIODIC-ORBITS AND BIFURCATIONS IN ANALOG NEURAL NETWORKS [J].
BLUM, EK ;
WANG, X .
NEURAL NETWORKS, 1992, 5 (04) :577-587
[4]   ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].
COHEN, MA ;
GROSSBERG, S .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826
[5]  
Devaney R., 1989, INTRO CHAOTIC DYNAMI
[6]   COMPLEX DYNAMICS IN WINNER-TAKE-ALL NEURAL NETS WITH SLOW INHIBITION [J].
ERMENTROUT, B .
NEURAL NETWORKS, 1992, 5 (03) :415-431
[7]   NONLINEAR NEURAL NETWORKS - PRINCIPLES, MECHANISMS, AND ARCHITECTURES [J].
GROSSBERG, S .
NEURAL NETWORKS, 1988, 1 (01) :17-61
[8]   ON THE STABILITY, STORAGE CAPACITY, AND DESIGN OF NONLINEAR CONTINUOUS NEURAL NETWORKS [J].
GUEZ, A ;
PROTOPOPSECU, V ;
BARHEN, J .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1988, 18 (01) :80-87
[9]  
HIRSCH M, 1987, 1ST P IEEE INT C NEU, V2, P115
[10]   NEURONS WITH GRADED RESPONSE HAVE COLLECTIVE COMPUTATIONAL PROPERTIES LIKE THOSE OF 2-STATE NEURONS [J].
HOPFIELD, JJ .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1984, 81 (10) :3088-3092
123