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ADAPTIVE CONTROLLER AND SYNCHRONIZER DESIGN FOR HYPERCHAOTIC ZHOU SYSTEM WITH UNKNOWN PARAMETERS

. International Journal of Information Technology, Modeling and Computing (IJITMC), (February 2013)

Abstract

In this paper, we establish new results for the adaptive controller and synchronizer design for the hyperchaotic Zhou system (2009), when the parameters of the system are unknown. Using adaptive control theory and Lyapunov stability theory, we first design an adaptive controller to stabilize the hyperchaotic Zhou system to its unstable equilibrium at the origin. Next, using adaptive control theory and Lyapunov stability theory, we design an adaptive controller to achieve global chaos synchronization of the identical hyperchaotic Zhou systems with unknown parameters. Simulations have been provided for adaptive controller and synchronizer designs to validate and illustrate the effectiveness of the schemes.

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