Abstract
In this paper, we study the problem of master---slave synchronization for chaotic Lur'e systems with sampled-data control. The sampling intervals are assumed to satisfy a Bernoulli distributed white noise sequence with fixed and given occurrence probability. By applying an input-delay approach, the probabilistic sampling system is transformed into a continuous time-delay system with stochastic parameters in the system matrices. Based on Lyapunov functional approach, a sufficient condition of exponentially mean-square synchronization is obtained by analyzing the corresponding synchronization error systems. The controller gains are designed by solving a set of linear matrix inequalities. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method.
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