LONG-TIME BEHAVIOR OF TRANSIENT SOLUTIONS FOR CELLULAR NEURAL NETWORK SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (3): 321-326.

LONG-TIME BEHAVIOR OF TRANSIENT SOLUTIONS FOR CELLULAR NEURAL NETWORK SYSTEMS

蒋耀林

Institute of Information and Systems Sciences, School of Sciences, Xi’an Jiaotong University, Xi’an 710049, P.R.China

收稿日期:1998-05-13 修回日期:1999-11-20 出版日期:2000-03-18 发布日期:2000-03-18
通讯作者: Dai Shiqiang
基金资助:
the National Natural Science Foundation of China (19801027);the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry

LONG-TIME BEHAVIOR OF TRANSIENT SOLUTIONS FOR CELLULAR NEURAL NETWORK SYSTEMS

Jiang Yaolin

Institute of Information and Systems Sciences, School of Sciences, Xi’an Jiaotong University, Xi’an 710049, P.R.China

Received:1998-05-13 Revised:1999-11-20 Online:2000-03-18 Published:2000-03-18
Supported by:
the National Natural Science Foundation of China (19801027);the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry

摘要/Abstract

摘要： By establishing concept on transient solutions of general nonlinear systems converging to its equilibrium set, long-time behavior of solutions for cellular neural network systems is studied. A stability condition in generalized sense is obtained. This result reported has an important guide to concrete neural network designs.

关键词: dynamic stability, cellular neural network systems, long-time behavior of transient solutions

Abstract: By establishing concept on transient solutions of general nonlinear systems converging to its equilibrium set, long-time behavior of solutions for cellular neural network systems is studied. A stability condition in generalized sense is obtained. This result reported has an important guide to concrete neural network designs.

Key words: dynamic stability, cellular neural network systems, long-time behavior of transient solutions

中图分类号:

O175

蒋耀林. LONG-TIME BEHAVIOR OF TRANSIENT SOLUTIONS FOR CELLULAR NEURAL NETWORK SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(3): 321-326.

Jiang Yaolin . LONG-TIME BEHAVIOR OF TRANSIENT SOLUTIONS FOR CELLULAR NEURAL NETWORK SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(3): 321-326.

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LONG-TIME BEHAVIOR OF TRANSIENT SOLUTIONS FOR CELLULAR NEURAL NETWORK SYSTEMS

LONG-TIME BEHAVIOR OF TRANSIENT SOLUTIONS FOR CELLULAR NEURAL NETWORK SYSTEMS

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