Impulsive control of Lurie systems

In this paper the impulsive control scheme of Lurie systems is represented. Using Lyapunov’s direct method and comparison technique, we present novel conditions under which impulsively controlled Lurie systems are asymptotically stable, and give the estimate of the upper bound of impulse interval. In particular, globally exponential stability of impulsive control of Lurie systems is presented. Impulsive controller design with examples is provided to show the feasibility and effectiveness of our method finally.