Literature DB >> 35401864

Dynamics of μ -piecewise pseudo almost periodic solutions of neutral-type inertial neural networks models: existence and attractiveness.

Khalil Ezzinbi1, Fritz Mbounja Béssémè2.   

Abstract

In this work, we use measure theory to provide new sufficient conditions for the existence, uniqueness and global exponential stability of piecewise pseudo almost periodic solutions of neutral-type inertial neural networks with mixed delay and impulsive perturbations. By proposing a variable substitution, the neutral-type inertial neural networks can be rewritten as a first-order differential equation. As a consequence, we investigate the exponential attractiveness of μ -piecewise pseudo almost periodic solutions of the considered model. Moreover, some numerical simulations are given to illustrate our main results.
© The Author(s), under exclusive licence to Springer Nature B.V. 2021.

Entities:  

Keywords:  Exponential stability; Inertial neural networks; Measure theory; Mixed delays; Piecewise pseudo almost periodic function

Year:  2021        PMID: 35401864      PMCID: PMC8934848          DOI: 10.1007/s11571-021-09707-9

Source DB:  PubMed          Journal:  Cogn Neurodyn        ISSN: 1871-4080            Impact factor:   5.082


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Journal:  IEEE Trans Cybern       Date:  2020-12-22       Impact factor: 11.448

  4 in total

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