脉冲扰动系统的集合稳定性

Set-Stability of Impulsive Perturbed Systems

研究了具有扰动影响的脉冲微分系统的稳定性的判断定理,通过运用Lyapunov函数和脉冲微分不等式理论,并结合扰动项的范数有上界的条件,得到了扰动脉冲系统解的一致渐近稳定性的充分条件;根据定理的条件,便可以容易的判断出一些复杂脉冲扰动系统的稳定性;利用脉冲微分不等式理论研究具有扰动的脉冲微分系统的集合稳定性是本文的主要的创新点.

Impulsive perturbed system are studied to obtain the theorem of the set stability. Through Lyapunov function and impulsive-differential in equation theory with the upper boundary conditions, the sufficiency condition of consistent-gradual stability for the systems are established. By the condition of the theorem, the stability of some complex impulsive unperturbed system can be verdicted.