【摘要】 利用推广的Dini导数脉冲微分不等式和Lyapunov函数方法研究了一类非线性脉冲时滞微分系统解的指数渐近稳定性,并给出无脉冲扰动下此系统解一致稳定的一个判定准则,尤其突出了脉冲效应对系统稳定性所起到的关键影响.更多还原

【Abstract】 Employing the extended Halanay′s delay differential inequality and Lypunov functions,we study the exponential stability of a nonlinear impulsive delay differential equation.Some sufficients are obtained.Also,uniform stability of the equations without impulsive effect is established.The effect of impulses on the solutions of the equations is stressed here.更多还原