Finite-time nonfragile synchronization of stochastic complex dynamical networks with semi-Markov switching outer coupling
type: Item
instance of: scholarly article
title: Finite-time nonfragile synchronization of stochastic complex dynamical networks with semi-Markov switching outer coupling
zbMATH Open document ID: 1390.93733
DOI: 10.1155/2018/8546304
author: R. Sakthivel
author: Ramalingam Sakthivel
author: B. Kaviarasan
author: Chao Wang
author: Yong-Ki Ma
published in: Complexity
publication date: 2018-06-25T00:00:00Z
review text: Summary: The problem of robust nonfragile synchronization is investigated in this paper for a class of complex dynamical networks subject to semi-Markov jumping outer coupling, time-varying coupling delay, randomly occurring gain variation, and stochastic noise over a desired finite-time interval. In particular, the network topology is assumed to follow a semi-Markov process such that it may switch from one to another at different instants. In this paper, the random gain variation is represented by a stochastic variable that is assumed to satisfy the Bernoulli distribution with white sequences. Based on these hypotheses and the Lyapunov-Krasovskii stability theory, a new finite-time stochastic synchronization criterion is established for the considered network in terms of linear matrix inequalities. Moreover, the control design parameters that guarantee the required criterion are computed by solving a set of linear matrix inequality constraints. An illustrative example is finally given to show the effectiveness and advantages of the developed analytical results.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 90B15
Mathematics Subject Classification ID: 60J75
Mathematics Subject Classification ID: 93A14
zbMATH DE Number: 6893975
zbMATH Keywords: robust nonfragile synchronization
zbMATH Keywords: complex dynamical networks
zbMATH Keywords: semi-Markov jumping outer coupling
zbMATH Keywords: time-varying coupling delay
zbMATH Keywords: randomly occurring gain variation
zbMATH Keywords: stochastic noise
zbMATH Keywords: Bernoulli distribution with white sequences
zbMATH Keywords: Lyapunov-Krasovskii stability theory
zbMATH Keywords: stochastic synchronization criterion
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8546304
OpenAlex ID: W2783240347
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description: scientific article; zbMATH DE number 6893975