\(H_\infty\) synchronization of semi-Markovian jump neural networks with randomly occurring time-varying delays
type: Item
instance of: scholarly article
title: \(H_\infty\) synchronization of semi-Markovian jump neural networks with randomly occurring time-varying delays
zbMATH Open document ID: 1405.93119
DOI: 10.1155/2018/8094292
author: Mengping Xing
author: Hao Shen
author: Zhen Wang
published in: Complexity
publication date: 2018-12-17T00:00:00Z
review text: Summary: Based on the Lyapunov stability theory, this paper mainly investigates the \(H_\infty\) synchronization problem for semi-Markovian jump neural networks (semi-MJNNs) with randomly occurring time-varying delays (TVDs). The continuous-time semi-MJNNs, where the transition rates are dependent on sojourn time, are introduced to make the issue under our consideration more general. One of the main characteristics of our work is the handling of TVDs. In addition to using the improved Jensen inequality and the reciprocal convexity lemma to deal with the integral inequality, we also employ Schur complement and the projection lemma to achieve the decoupling between the square term of TVDs. Finally, we verify the validity and feasibility of our method by a couple of simulation examples.
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93A14
zbMATH DE Number: 6994122
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8094292
OpenAlex ID: W2890624544
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description: scientific article; zbMATH DE number 6994122