Adaptive controller design for modified projective synchronization of Genesio–Tesi chaotic system with uncertain parameters

The paper addresses control problem for the modified projective synchronization of the Genesio–Tesi chaotic systems with three uncertain parameters. An adaptive control law is derived to make the states of two identical Genesio–Tesi systems asymptotically synchronized up to specific ratios. The stability analysis in the paper is proved using a well-known Lyapunov stability theory. A numerical simulation is presented to show the effectiveness of the proposed chaos synchronization scheme.