Article,
GLOBAL CHAOS SYNCHRONIZATION OF UNCERTAIN SPROTT J AND K SYSTEMS BY ADAPTIVE CONTROL
International Journal of Instrumentation and Control Systems (IJICS), 01 (02): 01-17 (October 2011)
DOI: 10.5121/ijics.2011.1202
Abstract
In this paper, we apply adaptive control method to derive new results for the global chaos synchronization of identical Sprott J systems (Sprott, 1994), identical Sprott K systems (Sprott, 1994) and non-identical Sprott J and K systems. Our results are derived for the general case when the parameters of both master and slave systems are unknown and adaptive synchronizing schemes have been derived using the estimates of parameters for both master and slave systems. Our adaptive synchronization schemes derived in this paper 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 Sprott J and K chaotic systems. Numerical simulations are presented to validate and illustrate the effectiveness of the proposed adaptive synchronization schemes for the uncertain Sprott J and K chaotic systems addressed in this paper.
