Non-fragile synchronization of dynamical networks with randomly occurring nonlinearities and controller gain fluctuations

This paper investigates the non-fragile synchronization problem of dynamical networks with randomly occurring nonlinearities and controller gain fluctuations. More precisely, these randomly occurring phenomena are modeled by stochastic variables satisfying the Bernoulli distribution. By utilizing the Lyapunov–Krasovskii functional method, sufficient synchronization criteria are first established in terms of linear matrix inequalities (LMIs). Based on the obtained results, a set of non-fragile synchronization controllers is further designed to ensure that the synchronization of the dynamical networks can be achieved. Finally, a numerical example is provided to illustrate the applicability and effectiveness of our theoretical results.