Global dissipativity of non-autonomous BAM neural networks with mixed time-varying delays and discontinuous activations-Reference-Cited by-同舟云学术

Global dissipativity of non-autonomous BAM neural networks with mixed time-varying delays and discontinuous activations

Published:2021-11-30 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Yan Meng¹²,Jiang Minghui¹²,Fei Kaifang¹²

Affiliation:

1. Institute of Nonlinear Complex Systems , China Three Gorges University , YiChang , Hubei 443000 , China

2. Three Gorges Mathematical Research Center , China Three Gorges University , YiChang , Hubei 443000 , China

Abstract

Abstract In this paper, we investigate the dissipativity of a class of BAM neural networks with both time-varying and distributed delays, as well as discontinuous activations. First, the concept of the Filippov solution is extended to functional differential equations with discontinuous right-hand sides via functional differential inclusions. Then, by constructing Lyapunov functional and employing a generalized Halanay inequality, several sufficient easy-to-test conditions are successfully obtained to guarantee the global dissipativity of the Filippov solution of the considered system. The derived results extend and improve some previous publications on conventional BAM neural networks. Meanwhile, the estimations of the positive invariant and globally attractive set are given. Finally, numerical simulations are provided to demonstrate the effectiveness of our proposed results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0078/pdf

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