Exponential stabilization of coupled hybrid stochastic delayed BAM neural networks: a periodically intermittent control method
type: Item
instance of: scholarly article
title: Exponential stabilization of coupled hybrid stochastic delayed BAM neural networks: a periodically intermittent control method
zbMATH Open document ID: 1407.93418
DOI: 10.1155/2018/1708935
author: Yunjian Peng
author: Birong Zhao
author: Weijie Sun
author: Feiqi Deng
published in: Complexity
publication date: 2019-02-19T00:00:00Z
review text: Summary: This paper considers exponential stabilization for a class of coupled hybrid stochastic delayed bidirectional associative memory neural networks (HSD-BAM-NN) with reaction-diffusion terms. A periodically intermittent controller is proposed to exponentially stabilize such an unstable HSD-BAM-NN, and sufficient conditions of the closed-loop BAM-NN system with exponential stabilization are derived by using Lyapunov-Krasovskii functional method, stochastic analysis techniques, and integral inequality property, which decide the basic parameters of the proposed controller. Furthermore, a framework to establish simulation algorithm with sampled states is presented to implement the stabilization controller. With a HSD-BAM-NN model of power synchronization in a photovoltaic (PV) array field, we illustrate numerical simulation results to verify the correctness and effectiveness of the proposed controller.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 60J20
zbMATH DE Number: 7025136
Wikidata QID: Q115522019
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1708935
OpenAlex ID: W2902261207
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description: scientific article; zbMATH DE number 7025136