Pulse synchronization of sampled-data chaotic systems

Abstract — In this paper, we consider the problem of pulse synchronization of a master-slave chaotic system in the sampled-data setting. We begin by developing a pulse-based intermittent control system for chaos synchronization. Using the discrete-time Lyapunov stability theory and the linear matrix inequality (LMI) framework, we construct a state feedback periodic pulse control law which yields global asymptotic synchronization of the sampled-data master-slave chaotic sys-tem for arbitrary initial conditions. Finally, we provide an experimental validation of our results by implementing, on a set of microcontrollers endowed with RF communication capability, a sampled-data master-slave chaotic system based on Chua’s circuit. I