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[期刊论文]

Existence and globally exponential stability of equilibrium for BAM neural networks with impulses

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author:

Xia, Yonghui (Xia, Yonghui.) [1] | Huang, Zhenkun (Huang, Zhenkun.) [2] | Han, Maoan (Han, Maoan.) [3]

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EI

Abstract:

In this paper, a class of two-layer heteroassociative networks called bidirectional associative memory (BAM) networks with impulses is studied. Some new sufficient conditions are established for the existence and globally exponential stability of a unique equilibrium, which generalize and improve the previously known results. The sufficient conditions are easy to verify and when the impulsive jumps are absent the results reduce to those of the non-impulsive systems. The approaches are based on employing Banach's fixed point theorem, matrix theory and its spectral theory. Our results generalize and significantly improve the previous known results due to this method. Examples are given to show the feasibility and effectiveness of our results. © 2006 Elsevier Ltd. All rights reserved.

Keyword:

Asymptotic stability Banach spaces Neural networks Theorem proving

Community:

  • [ 1 ] [Xia, Yonghui]The Institute of Mathematics, Shanghai Normal University, Shanghai, 200234, China
  • [ 2 ] [Xia, Yonghui]College of Mathematics and Computer Science, Fuzhou University, Fujian 350002, China
  • [ 3 ] [Huang, Zhenkun]School of Sciences, Jimei University, Xiamen, Fujian 361021, China
  • [ 4 ] [Han, Maoan]The Institute of Mathematics, Shanghai Normal University, Shanghai, 200234, China

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Source :

Chaos, Solitons and Fractals

ISSN: 0960-0779

Year: 2008

Issue: 2

Volume: 37

Page: 588-597

2 . 9 8

JCR@2008

5 . 3 0 0

JCR@2023

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 42

30 Days PV: 1

Affiliated Colleges:

操作日志

管理员  2025-02-22 17:57:46  更新被引

管理员  2020-11-19 17:34:28  创建

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