Periodic oscillation for BAM neural networks with impulses

被引：9

作者：

Zhao Y. ^{[1
]}

Xia Y. ^{[2
]}

Ding W. ^{[1
]}

机构：

[1] Institute of Mathematics, Shanghai Normal University

[2] College of Mathematics and Computer Science, Fuzhou University

来源：

Journal of Applied Mathematics and Computing | 2008年 / 28卷 / 1-2期

关键词：

BAM neural networks; Global exponential stability; Impulsive; Periodic solution; Spectral theory;

D O I：

10.1007/s12190-008-0114-8

中图分类号：

学科分类号：

摘要：

In this paper, a class of neural networks called bidirectional associative memory (BAM) networks with impulses is discussed. Some sufficient conditions are established for the existence and global exponential stability of a unique periodic solution and the exponentially convergent rate is estimated. The sufficient conditions are easy to be verified and when the impulsive jumps are absent, the results reduce to those of the non-impulsive systems. The approaches are based on employing inequality analysis, matrix theory and its spectral theory. © 2008 Korean Society for Computational and Applied Mathematics.

引用

页码：405 / 423

页数：18

共 50 条

[1] Periodic oscillatory solution to delayed BAM neural networks with impulses
Liu, ZG
Chen, AP
Huang, LH
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2004, 5 (04) : 355 - 362
[2] Stability analysis for periodic solution of BAM neural networks with discontinuous neuron activations and impulses
Wu, Huaiqin
Shan, Caihong
[J]. APPLIED MATHEMATICAL MODELLING, 2009, 33 (06) : 2564 - 2574
[3] Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses
Liu, Qiming
Xu, Rui
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[4] Existence and Stability of Periodic Solutions for BAM Neural Networks with Time-Varying Delays and Impulses
Wu, Chunxue
Shi, Bao
[J]. ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 1, PROCEEDINGS, 2009, 5551 : 472 - 481
[5] Multiple Periodic Solutions for Cohen-Grossberg BAM Neural Networks with Mixed Delays and Impulses
Liao, Yongzhi
Tang, Qilin
[J]. ENGINEERING LETTERS, 2022, 30 (04) : 1185 - 1198
[6] Existence of exponential periodic attractor of BAM neural networks with time-varying delays and impulses
Shao, Yuanfu
[J]. NEUROCOMPUTING, 2012, 93 : 1 - 9
[7] Stabilizing Effects of Impulses in Delayed BAM Neural Networks
Li, Chuandong
Shen, Y. Y.
Feng, Gang
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2008, 55 (12) : 1284 - 1288
[8] Exponential Stability of BAM Neural Networks with Delays and Impulses
Chen, Deqin
Li, Kelin
[J]. INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND NETWORK SECURITY, 2006, 6 (10): : 94 - 99
[9] Global Exponential Stability of Periodic Oscillation for Nonautonomous BAM Neural Networks with Distributed Delay
Yi Wang
Zhongjun Ma
Hongli Liu
[J]. Journal of Inequalities and Applications, 2009
[10] Global Exponential Stability of Periodic Oscillation for Nonautonomous BAM Neural Networks with Distributed Delay
Wang, Yi
Ma, Zhongjun
Liu, Hongli
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,

← 1 2 3 4 5 →