Set-stabilization of discrete chaotic systems via impulsive control

In this letter, for the first time, set-stabilization is addressed for a class of discrete chaotic systems by using impulsive control. By using the Lyapunov stability theory and algebraic inequality techniques, some sufficient conditions for global exponential set-stability of the impulsive controlled discrete chaotic systems are obtained and the attracting set of the systems is also given. It is shown that not only a discrete chaotic system but also an unbounded discrete system can be successfully set-stabilized by impulses. The numerical simulation on the Lozi discrete chaotic system is presented to illustrate the effectiveness of the obtained results.