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Distributed Synchronization of Stochastic Complex Networks with Time-Varying Delays via Randomly Occurring Control
Chengyi University College, Jimei University, Xiamen, China
Chengyi University College, Jimei University, Xiamen, China
- 1 Chengyi University College, Jimei University, Xiamen, China
- 2 Chengyi University College, Jimei University, Xiamen, China
Applied Mathematics·Volume 12 (2021)·Pages 803–817·Published 2 September 2021·DOI10.4236/am.2021.129054
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Abstract
This paper studies the distributed synchronization control problem of a class of stochastic dynamical systems with time-varying delays and random noise via randomly occurring control. The activation of the distributed adaptive controller and the update of the control gain designed in this paper all happen randomly. Based on the Lyapunov stability theory, LaSalle invariance principle, combined with the use of the properties of the matrix Kronecker product, stochastic differential equation theory and other related tools, by constructing the appropriate Lyapunov functional, the criterion for the distributed synchronization of this type of stochastic complex networks in mean square is obtained.
KeywordsStochastic Dynamical SystemTime-Varying DelayDistributed SynchronizationRandomly Occurring Control
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