Global Chaos Synchronization of Hyperchaotic Lorenz Systems by Sliding Mode Control

In this paper, new results based on the sliding mode control are derived for the global chaos synchronization of identical hyperchaotic Lorenz systems (Jia, 2007). The stability results for the sliding mode control based synchronization schemes derived in this paper are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode control method is very effective and convenient to achieve global chaos synchronization of the identical hyperchaotic Lorenz systems. Numerical simulations are shown to illustrate and validate the sliding mode control results derived in this paper for the identical hyperchaotic Lorenz systems.

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