ADAPTIVE CONTROLLER DESIGN FOR THE SYNCHRONIZATION OF MOORE-SPIEGEL AND ACT SYSTEMS WITH UNKNOWN PARAMETERS

In this paper, we design adaptive controllers for the global chaos synchronization of identical MooreSpiegel systems (1966), identical ACT systems (1981) and non-identical Moore-Spiegel and ACT chaoticsystems with unknown parameters. Our adaptive synchronization results derived in this paper foruncertain Moore-Spiegel and ACT systems are established using Lyapunov stability theory. Since theLyapunov exponents are not required for these calculations, the adaptive control method is very effectiveand convenient to synchronize identical and non-identical uncertain Moore-Spiegel and ACT chaoticsystems. Numerical simulations are shown to demonstrate the effectiveness of the proposed adaptivesynchronization schemes for the global chaos synchronization of the uncertain chaotic systems derived inthis paper.