Adaptive synchronization of Genesio–Tesi chaotic system via a novel feedback control

The Letter addresses control problem for adaptive synchronization of the Genesio–Tesi chaotic systems with three uncertain parameters. A new control scheme is proposed to make the states of two Genesio–Tesi systems asymptotically synchronized. Based on the Lyapunov method and linear matrix inequality (LMI) framework, an existence criterion for the control law is derived in terms of LMIs. A numerical simulation is illustrated to show the effectiveness of the proposed chaos synchronization scheme.