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Synchronization Analysis for Stochastic T-S Fuzzy Complex Networks with Markovian Jumping Parameters and Mixed Time-Varying Delays via Impulsive Control

M. Syed Ali, M. Usha, Quanxin Zhu, S. Saravanan

2020Mathematical Problems in Engineering47 citationsDOIOpen Access PDF

Abstract

In this paper, we propose and explore the synchronization examination for fuzzy stochastic complex networks’ Markovian jumping parameters portrayed by Takagi-Sugeno (T-S) fuzzy model with mixed time-varying coupling delays via impulsive control. The hybrid coupling includes time-varying discrete and distributed delays. Based on appropriate Lyapunov–Krasovskii functional (LKF) approach, Newton–Leibniz formula, and Jensen’s inequality, the stochastic examination systems and Kronecker product to create delay-dependent synchronization criteria that guarantee stochastically synchronous of the proposed T-S fuzzy stochastic complex networks with mixed time-varying delays. Adequate conditions for the synchronization criteria for the frameworks are established in terms of linear matrix inequalities (LMIs). At long last, numerical examples and simulations are given to demonstrate the correctness of the hypothetical outcomes.

Topics & Concepts

Kronecker productSynchronization (alternating current)CorrectnessControl theory (sociology)Fuzzy logicMathematicsComputer scienceMathematical optimizationApplied mathematicsControl (management)Kronecker deltaTopology (electrical circuits)AlgorithmArtificial intelligencePhysicsQuantum mechanicsCombinatoricsNeural Networks Stability and SynchronizationNonlinear Dynamics and Pattern FormationOpinion Dynamics and Social Influence