Synchronization stability of delayed discrete-time complex dynamical networks with randomly changing coupling strength

This paper addresses a delay-dependent synchronization stability problem for discrete-time complex dynamical networks with interval time-varying delays and randomly changing coupling strength. The randomly changing coupling strength is considered with the concept of binomial distribution. By constructing a suitable Lyapunov-Krasovskii functional and utilizing reciprocally convex approach and Finsler’s lemma, the proposed synchronization stability criteria for the networks are established in terms of linear matrix inequalities which can be easily solved by various effective optimization algorithms. The networks are represented by use of the Kronecker product technique. The effectiveness of the proposed methods will be verified via numerical examples.

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