EXPONENTIAL STABILITY OF PERIODIC SOLUTIONS FOR INERTIAL COHEN-GROSSBERG-TYPE NEURAL NETWORKS

被引：12

作者：

Ke, Yunquan ^{[1
]}

Miao, Chunfang ^{[1
]}

机构：

[1] Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China

来源：

NEURAL NETWORK WORLD | 2014年 / 24卷 / 04期

关键词：

Inertial Cohen-Grossberg-type neural networks; Lyapunov function; inequality technique; periodic solutions; exponential stability; EXISTENCE;

D O I：

10.14311/NNW.2014.24.022

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, the exponential stability of periodic solutions for inertial Cohen-Grossberg-type neural networks are investigated. First, by properly chosen variable substitution the system is transformed to first order differential equation. Second, some sufficient conditions which can ensure the existence and exponential stability of periodic solutions for the system are obtained by using constructing suitable Lyapunov function and differential mean value theorem, applying the analysis method and inequality technique. Finally, two examples are given to illustrate the effectiveness of the results.

引用

页码：377 / 394

页数：18

共 18 条

[1] STABILITY AND DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS WITH ADDED INERTIA [J].

BABCOCK, KL ;

WESTERVELT, RM .

PHYSICA D, 1986, 23 (1-3) :464-469

[2] Global exponential stability of the periodic solution of delayed Cohen-Grossberg neural networks with discontinuous activations [J].

Chen, Xiaofeng ;

Song, Qiankun .

NEUROCOMPUTING, 2010, 73 (16-18) :3097-3104

[3] 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

[4] WEAK RESONANT DOUBLE HOPF BIFURCATIONS IN AN INERTIAL FOUR-NEURON MODEL WITH TIME DELAY [J].

Ge, Juhong ;

Xu, Jian .

INTERNATIONAL JOURNAL OF NEURAL SYSTEMS, 2012, 22 (01) :63-75

[5] Bifurcation and stabilization of oscillations in ring neural networks with inertia [J].

Horikawa, Yo ;

Kitajima, Hiroyuki .

PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (23-24) :2409-2418

[6] Stability and existence of periodic solutions in inertial BAM neural networks with time delay [J].

Ke Yunquan ;

Miao Chunfang .

NEURAL COMPUTING & APPLICATIONS, 2013, 23 (3-4) :1089-1099

[7] Stability analysis of inertial Cohen-Grossberg-type neural networks with time delays [J].

Ke, Yunquan ;

Miao, Chunfang .

NEUROCOMPUTING, 2013, 117 :196-205

[8] Hopf bifurcation and chaos in a single inertial neuron model with time delay [J].

Li, CG ;

Chen, GR ;

Liao, XF ;

Yu, JB .

EUROPEAN PHYSICAL JOURNAL B, 2004, 41 (03) :337-343

[9] The research for Hopf bifurcation in a single inertial neuron model with external forcing [J].

Liu, Qun ;

Liao, Xiaofeng ;

Yang, Degang ;

Guo, Songtao .

GRC: 2007 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, PROCEEDINGS, 2007, :528-+

[10]

Liu Q, 2006, 2006 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, P420

← 1 2 →