Impulsive Control of a Class of Discrete Chaotic Systems with Parameter Uncertainties

This paper presents an impulsive control scheme to realize global asymptotical stability of a class of discrete chaotic systems with parameter uncertainties. Some new and less conservative impulsive stabilization criteria are established by using the method of Lyapunov functions, where both nonuniform and uniform impulsive intervals are used. When uniform impulsive interval and constant control gain matrix are used, the criteria reduces to a set of simple and easily verifiable conditions. As an illustration, these criteria are applied to stabilize the kicked double rotor chaotic map, which shows the effectiveness of the proposed impulsive control scheme.