Abstract
Abstract This article addresses the master-slave synchronization problem of chaotic Lur’e-type systems under sampled-data control. In particular, the system nonlinearity is assumed to be described by a piecewise-linear function. Based on a Lur’e-type Lyapunov function and a looped-functional approach, LMI-based conditions are formulated to ensure that the difference between master and slave states converges asymptotically to zero provided that the time interval between two consecutive samples respects some bounds. An optimization problem is then proposed to determine the maximum allowable time between two successive samples in order to guarantee the synchronization. A Chua’s circuit example illustrates the result.
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