Control and synchronization for uncertain chaotic systems with LMI approach

This paper presents new sufficient conditions for control and synchronization of chaos systems with parametric uncertainties by applying the linear-state-feedback approach. Control laws are derived to achieve chaos control and chaos synchronization on the basis of Lyapunov stability theory. In particular, we provide the synchronous upper-bound with the only bounded perturbations. Numerical stimulations are given to illustrate the proposed results.