Dynamics of impulsive neutral-type BAM neural networks

In this letter, the existence and the global exponential stability of piecewise pseudo almost periodic solutions (PAPT) for bidirectional associative memory neural networks (BAMNNs) with time-varying delay in leakage (or forgetting) terms and impulsive are investigated by applying contraction mappin...

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Published in:Journal of the Franklin Institute 2019-03, Vol.356 (4), p.2294-2324
Main Authors: Aouiti, Chaouki, Gharbia, Imen Ben, Cao, Jinde, Alsaedi, Ahmed
Format: Article
Language:English
Subjects:
Associative memory
Differential equations
Fixed points (mathematics)
Linear equations
Mapping
Neural networks
Partial differential equations
Recurrent neural networks
Theorems
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description In this letter, the existence and the global exponential stability of piecewise pseudo almost periodic solutions (PAPT) for bidirectional associative memory neural networks (BAMNNs) with time-varying delay in leakage (or forgetting) terms and impulsive are investigated by applying contraction mapping fixed point theorem, the exponential dichotomy of linear differential equations and differential inequality techniques. Furthermore, we give an explanatory example to illustrate the efficiency of the theoretical predictions.
doi_str_mv 10.1016/j.jfranklin.2019.01.028
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source ScienceDirect Freedom Collection; Backfile Package - Mathematics (Legacy) [YMT]
subjects Associative memory
Differential equations
Fixed points (mathematics)
Linear equations
Mapping
Neural networks
Partial differential equations
Recurrent neural networks
Theorems
title Dynamics of impulsive neutral-type BAM neural networks
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