Global consensus for discrete-time competitive systems

被引：3

作者：

Shih, Chih-Wen ^{[1
]}

Tseng, Jui-Pin ^{[1
]}

机构：

[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu, Taiwan

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 01期

关键词：

GROSSBERG NEURAL-NETWORKS; STABILITY; DELAYS; DYNAMICS;

D O I：

10.1016/j.chaos.2007.12.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Grossberg established a remarkable convergence theorem for a class of competitive systems without knowing and using Lyapunov function for the systems. We present the parallel investigations for the discrete-time version of the Grossberg's model. Through developing an extended component-competing analysis for the coupled system, without knowing a Lyapunov function and applying the LaSalle's invariance principle, the global pattern formation or the so-called global consensus for the system can be achieved. A numerical simulation is performed to illustrate the present theory. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：302 / 310

页数：9

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