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Pinning Synchronization of Stochastic T-S Fuzzy Delayed Complex Dynamical Networks with Heterogeneous Impulsive Delays

Huilan Yang, Lan Shu, Shouming Zhong, Tao Zhan, and Xin Wang*
International Journal of Control, Automation, and Systems, vol. 18, no. 10, pp.2599-2608, 2020

Abstract : In this paper, we deal with the exponential pinning synchronization (PS) of stochastic T-S fuzzy delayed complex dynamical networks (FDCDNs) with heterogeneous impulsive delays. Unlike the existing works, a fuzzy memory pinning impulsive control (FMPIC) approach is proposed. In order to conquer the difficulties of studying such a general system, sufficient conditions that depend on the discrete-delay and distributed-delay impulsive effects are obtained by employing the Lyapunov function, inequality techniques and stochastic analysis theory. It is shown that the PS of FDCDNs can be achieved under the designed FMPIC. Numerical simulation on the basis of BA scale-free coupled network is used to illustrate the effectiveness of the theoretical results.

Keyword : Complex dynamical networks, heterogeneous impulsive delays, pinning synchronization, T-S fuzzy system

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