Abstract
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.
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