Pseudo Almost Automorphic Solutions for Multidirectional Associative Memory Neural Network with Mixed Delays

In the paper, under some sufficient conditions, the existence and the global exponential stability of a pseudo almost automorphic solution to multidirectional associative memory (MAM) neural network with time-varying coefficients and mixed delays is obtained by combining both differential inequality...

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Bibliographic Details
Published in:Neural processing letters 2019-06, Vol.49 (3), p.1567-1592
Main Author: M’hamdi, Mohammed Salah
Format: Article
Language:English
Subjects:
Artificial Intelligence
Associative memory
Banach spaces
Complex Systems
Computational Intelligence
Computer Science
Neural networks
Neurons
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Summary:In the paper, under some sufficient conditions, the existence and the global exponential stability of a pseudo almost automorphic solution to multidirectional associative memory (MAM) neural network with time-varying coefficients and mixed delays is obtained by combining both differential inequality techniques and the classical Banach’s fixed-point principle. As you will see, our results improve and generalize many previous known results in MAM. Finally, an example together with its numeric simulations show the feasibility and effectiveness of our main results.
ISSN:1370-4621
1573-773X
DOI:10.1007/s11063-018-9889-2