Finite-Time Nonfragile Synchronization of Stochastic Complex Dynamical Networks with Semi-Markov Switching Outer Coupling

الملخص EN

The problem of robust nonfragile synchronization is investigated in this paper for a class of complex dynamical networks subject to semi-Markov jumping outer coupling, time-varying coupling delay, randomly occurring gain variation, and stochastic noise over a desired finite-time interval.

In particular, the network topology is assumed to follow a semi-Markov process such that it may switch from one to another at different instants.

In this paper, the random gain variation is represented by a stochastic variable that is assumed to satisfy the Bernoulli distribution with white sequences.

Based on these hypotheses and the Lyapunov-Krasovskii stability theory, a new finite-time stochastic synchronization criterion is established for the considered network in terms of linear matrix inequalities.

Moreover, the control design parameters that guarantee the required criterion are computed by solving a set of linear matrix inequality constraints.

An illustrative example is finally given to show the effectiveness and advantages of the developed analytical results.