Existence and exponential stability of almost-periodic solutions for MAM neural network with distributed delays on time scales

This paper is concerned with multidirectional associative memory neural network with distributed delays on almost-periodic time scales. Some sufficient conditions on the existence, uniqueness and the global exponential stability of almost-periodic solutions are established. An example is presented t...

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Bibliographic Details
Published inApplied Mathematics-A Journal of Chinese Universities Vol. 36; no. 1; pp. 70 - 82
Main Authors Gao, Jin, Wang, Qi-ru, Lin, Yuan
Format Journal Article
LanguageEnglish
Published Hangzhou Editorial Committee of Applied Mathematics - A Journal of Chinese Universities 01.03.2021
Springer Nature B.V
Subjects
Applications of Mathematics
Associative memory
Distributed memory
Mathematics
Mathematics and Statistics
Neural networks
Stability
Time
26E70
time scales
39A24
almost-periodic solutions
exponential stability
multidirectional associative memory neural networks
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Summary:This paper is concerned with multidirectional associative memory neural network with distributed delays on almost-periodic time scales. Some sufficient conditions on the existence, uniqueness and the global exponential stability of almost-periodic solutions are established. An example is presented to illustrate the feasibility and effectiveness of the obtained results.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-021-3606-z