Existence and exponential stability of anti-periodic solutions for interval general bidirectional associative memory neural networks with multiple delays

In this article, we will consider the a class of interval general bidirectional associative memory (BAM) neural networks with multiple delays. Based on the fundamental solution matrix of coefficients, inequality technique and Lyapunov method, we derive a series of sufficient conditions to ensure the...

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Veröffentlicht in:Advances in difference equations 2016-07, Vol.2016 (1), p.1-12, Article 190
Hauptverfasser: Li, Xiaofei, Ding, Deng, Feng, Jianzhong, Hu, Songbo
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Hu, Songbo
description In this article, we will consider the a class of interval general bidirectional associative memory (BAM) neural networks with multiple delays. Based on the fundamental solution matrix of coefficients, inequality technique and Lyapunov method, we derive a series of sufficient conditions to ensure the existence and exponential stability of anti-periodic solutions of the neural networks with multiple delays. Our findings are new and complement some previously known studies.
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source DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals
subjects Analysis
Associative memory
Bidirectional
Complement
Delay
Difference and Functional Equations
Functional Analysis
Inequalities
Intervals
Mathematics
Mathematics and Statistics
Neural networks
Ordinary Differential Equations
Partial Differential Equations
Stability
title Existence and exponential stability of anti-periodic solutions for interval general bidirectional associative memory neural networks with multiple delays
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