Abstract

This article is dedicated to research the sampled-data exponential synchronization for a class of stochastic chaotic Lur’e delayed system. Unlike the Lur’e systems studied in most articles which are deterministic, taking full account of the impact of stochastic factors on the system, a type of Itô-type stochastic chaotic Lur’e delayed system is taken as our research object. Firstly, two lemmas are provided to estimate the expectation of the solution of stochastic delayed chaotic Lur’e system and stochastic chaotic Lur’e system, respectively. Secondly, by constructing novel Lyapunov functional, an exponential synchronization criterion is proposed and sampled-data controller is designed for stochastic chaotic Lur’e delayed system and stochastic chaotic Lur’e system. Finally, the effectiveness is verified by a widely used chaotic circuit model and a neural network model.

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