Robust control for a class of chaotic and hyperchaotic systems via linear state feedback

This paper investigates the issue of input-to-state stable control for a class of chaotic and hyperchaotic systems with uncertainties and interference. Based on Lyapunov theory, a linear state feedback controller is presented to guarantee the asymptotic stability and achieve the bounded state variable for any bounded disturbance. The control strength matrix can be obtained by solving the linear matrix inequality. Further, a simplified controller is achieved by transforming the dynamics equation. Finally, two illustrative examples are presented to verify the effectiveness of the proposed control scheme.