Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays

摘要

This paper studies impulsive control systems with finite andinfinite delays. Several stability criteria are established by employingthe largest and smallest eigenvalue of matrix. Our sufficient conditionsare less restrictive than the ones in the earlier literature. Moreover,it is shown that by using impulsive control, the delay systems can bestabilized even if it contains no stable matrix. Finally, some numericalexamples are discussed to illustrate the theoretical results.