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Master–Slave Synchronization of Fourth-Order Lü Chaotic Oscillators via Linear Output Feedback

We solve the problem of master-slave synchronization of fourth-order Lu's hyperchaotic systems via feedback control. We use only one control input that enters in the slave system. We show that this simple feedback suffices to synchronize both systems exponentially fast. We provide a proof of stability and convergence (hence, that synchronization takes place) via Lyapunov's second stability method. We provide some numeric simulations that illustrate our findings.