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
收藏
页码：302 / 310
页数：9
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