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Synchronization of Takagi-Sugeno fuzzy stochastic discrete-time complex networks with mixed time-varying delays. (English) Zbl 1185.93145
Summary: We propose and investigate a new general model of fuzzy stochastic discrete-time complex networks (SDCNs) described by Takagi-Sugeno (T-S) fuzzy model with discrete and distributed time-varying delays. The proposed model takes some well-studied models as special cases. By employing a new Lyapunov functional candidate, we utilize some stochastic analysis techniques and Kronecker product to deduce delay-dependent synchronization criteria that ensure the mean-square synchronization of the proposed T-S fuzzy SDCNs with mixed time-varying delays. These sufficient conditions are computationally efficient as it can be solved numerically by the LMI toolbox in Matlab. A numerical simulation example is provided to verify the effectiveness and the applicability of the proposed approach.
MSC:
93E15Stochastic stability
93C42Fuzzy control systems
60K30Applications of queueing theory
90B15Network models, stochastic (optimization)
90C70Fuzzy programming
Software:
Matlab
References:
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