Synchronization criteria for delayed Lur’e systems and randomly occurring sampled-data controller gain

Abstract In this paper, the synchronization problem for delayed Lur’e systems with sampled-data control is investigated. To reflect noises and perturbations of a designed controller gain, Bernoulli sequence and random variables are applied to sampled-data scheme. By constructing some novel Lyapunov-Krasovskii functionals and utilizing some mathematical techniques such as Wirtinger-based integral inequalities, a sampled-data synchronization method for delayed Lur’e systems under a sampled-data control with randomly occurring perturbations is proposed as the framework of linear matrix inequalities. As a special case of the first result, a sampled-data synchronization criterion without considering randomly occurring perturbations is derived. Finally, via three numerical examples, the superiority and validity of the proposed results will be verified through comparing with the existing results.