Global exponential periodicity of a class of recurrent neural networks with oscillating parameters and time-varying delays

被引：40

作者：

Chen, BS ^{[1
]}

Wang, J

机构：

[1] Hubei Normal Univ, Dept Math, Hubei, Peoples R China

[2] Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS | 2005年 / 16卷 / 06期

关键词：

global exponential periodicity; global exponential stability; mixed monotone operator; neural networks; oscillating connections; periodic oscillation; time-varying delay;

D O I：

10.1109/TNN.2005.857953

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, we present the analytical results on the global exponential periodicity of a class of recurrent neural networks with oscillating parameters and time-varying delays. Sufficient conditions are derived for ascertaining the existence, uniqueness and global exponential periodicity of the oscillatory solution of such recurrent neural networks by using the comparison principle and mixed monotone operator method. The periodicity results extend or improve existing stability results for the class of recurrent neural networks with and without time delays.

引用

页码：1440 / 1448

页数：9

共 48 条

[1] Global asymptotic stability of a class of dynamical neural networks
Arik, S
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04): : 568 - 571
[2] Frustration, stability, and delay-induced oscillations in a neural network model
Belair, J
Campbell, SA
VandenDriessche, P
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1996, 56 (01) : 245 - 255
[3] On exponential stability and periodic solutions of CNNs with delays
Cao, J
[J]. PHYSICS LETTERS A, 2000, 267 (5-6) : 312 - 318
[4] Periodic oscillatory solution of bidirectional associative memory networks with delays
Cao, J
Wang, L
[J]. PHYSICAL REVIEW E, 2000, 61 (02): : 1825 - 1828
[5] Periodic solutions and exponential stability in delayed cellular neural networks
Cao, JD
[J]. PHYSICAL REVIEW E, 1999, 60 (03): : 3244 - 3248
[6] Exponential stability and periodic oscillatory solution in BAM networks with delays
Cao, JD
Wang, L
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (02): : 457 - 463
[7] Periodic oscillation and exponential stability of delayed CNNs
Cao, JD
[J]. PHYSICS LETTERS A, 2000, 270 (3-4) : 157 - 163
[8] On the exponential stability and periodic solutions of delayed cellular neural networks
Cao, JD
Li, Q
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 252 (01) : 50 - 64
[9] Existence and stability of almost periodic solution for BAM neural networks with delays
Chen, AP
Huang, LH
Cao, JD
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (01) : 177 - 193
[10] Chen B., 1995, ACTA MATH SIN, V38, P267

← 1 2 3 4 5 →