脉冲积分-微分系统的稳定性

摘要

To study stability for impulsive integro-differential systems, direct way of Lyapunov functions are used and the idea of Razumikhin techniques, by weakening the conditions of Lyapunov functions along solutions of the systems, establishing a new direct therom of stability for zero solution of impulsive integro-differential systems.%为研究积分-微分系统的稳定性,运用Lyapunov函数直接方法并借助Razumi¨in技巧的思想,通过减弱Lyapunov函数沿系统解的导数的限制条件,得到了判断脉冲积分-微分系统零解稳定性的新的直接判定定理.