ADAPTIVE SYNCHRONIZATION OF UNCERTAIN LI AND T CHAOTIC SYSTEMS

In this paper, we use adaptive control method to derive new results for the global chaos synchronization of identical uncertain Li systems (2009), identical uncertain T systems (2008) and non-identical Li and uncertain T systems. In adaptive synchronization of identical chaotic systems, the parameters of the master and slave systems are unknown and we devise feedback control laws using estimates of the system parameters. In adaptive synchronization of non-identical chaotic systems, the parameters of the master system are known, but the parameters of the slave systems are unknown and we devise feedback control laws using the estimates of the parameters of the slave system. Our adaptive synchronization results derived in this paper for uncertain Li and T systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the adaptive control method is very effective and convenient to synchronize identical and non-identical Li and T chaotic systems. Numerical simulations are given to demonstrate the effectiveness of the proposed adaptive synchronization schemes for the global chaos synchronization of the uncertain chaotic systems addressed in this paper.