Nonuniform Sampled-Data Control for Synchronization of Semi-Markovian Jump Stochastic Complex Dynamical Networks with Time-Varying Delays

In this paper, the problem of exponential synchronization of semi-Markov jump stochastic complex dynamical networks using nonuniform sampled-data control with random delayed information exchanges among dynamical nodes are discussed. In particular, it is considered that random delayed information exc...

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Published inComplexity (New York, N.Y.) Vol. 2022; no. 1
Main Authors Sakthivel, N., Ma, Yong-Ki, Mounika Devi, M., Manopriya, G., Vijayakumar, V., Huh, Mooyul
Format Journal Article
LanguageEnglish
Published Hoboken Hindawi 2022
John Wiley & Sons, Inc
Wiley
Subjects
Analysis
Communication
Euclidean space
Linear matrix inequalities
Markov analysis
Markov processes
Random variables
Randomness
Synchronism
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ISSN1076-2787
1099-0526
DOI10.1155/2022/2006947

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Summary:In this paper, the problem of exponential synchronization of semi-Markov jump stochastic complex dynamical networks using nonuniform sampled-data control with random delayed information exchanges among dynamical nodes are discussed. In particular, it is considered that random delayed information exchanges follow a Bernoulli distribution, in which stochastic variables are used to model randomness. To achieve exponential synchronization, we designed a nonuniform sampled-data control approach. By constructing an appropriate Lyapunov–Krasovskii functional and using the Wirtinger inequality, sufficient criteria were obtained in terms of linear matrix inequalities. Finally, numerical examples were implemented to demonstrate the effectiveness and superiority of the proposed design techniques.
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ISSN:1076-2787
1099-0526
DOI:10.1155/2022/2006947