ArticleProceedings. Mathematical, physical, and engineering sciences2017
Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes.
Article in Proceedings. Mathematical, physical, and engineering sciences, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior.Entropy (Basel, Switzerland) · 2020Article
- Generalized stability for discontinuous complex-valued Hopfield neural networks via differential inclusions.Proceedings. Mathematical, physical, and engineering sciences · 2018Article
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Abstract
This paper is concerned with the drive-response synchronization for a class of fractional-order bidirectional associative memory neural networks with time delays, as well as in the presence of discontinuous activation functions. The global existence of solution under the framework of Filippov for such networks is firstly obtained based on the fixed-point theorem for condensing map. Then the state feedback and impulsive controllers are, respectively, designed to ensure the Mittag-Leffler synchronization of these neural networks and two new synchronization criteria are obtained, which are expressed in terms of a fractional comparison principle and Razumikhin techniques. Numerical simulations are presented to validate the proposed methodologies.
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