Global Chaos Synchronization of Liu and Lü Systems by Nonlinear Control
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Abstract
This paper investigates the global exponential synchronization of chaotic systems, viz. identical Liu systems (Liu et al., 2004),
identical L systems (L and Chen, 2002) and synchronization of Liu and L systems. Nonlinear feedback control is the method used to achieve
the synchronization of the chaotic systems addressed in this paper and our theorems on global exponential synchronization for T and Cai systems
are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the nonlinear feedback
control method is effective and convenient to synchronize identical and different T and Cai systems. Numerical simulations are also given to
illustrate and validate the synchronization results for Liu and L systems.
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Keywords: Chaos Synchronization, Nonlinear Control, Liu System, L System, Feedback Control.
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