摘要
利用Lyapunov方法讨论离散滞后广义系统 ,并给出了该类系统的零解一致稳定区域和渐近稳定区域的大小估计 .当初始扰动是在稳定区域时 ,离散滞后广义系统的初始值问题的解一致稳定 ;当初始扰动是在渐近稳定区域时 ,离散滞后广义系统的初始值问题的解趋于零 .
This paper discusses discrete_delay singular systems by using Lyapunov's method and estimates the size of the uniformly stable region and asymptotic stability region around zero for discrete_delay singular systems. When the initial disturbance is in the stability region, the solution of the initial value problem of discrete_delay singular systems is uniformly stable; when the initial disturbance is in the asymptotic stability region, the solution of the initial value problem of discrete_delay singular systems approaches zero. A numerical simulation is given to illustrate the application of the obtained approach.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2002年第2期188-192,共5页
Control Theory & Applications
基金
国家自然科学基金 (60 0 0 40 0 4)
国家自然科学重点基金 (6993 40 3 0 )
广东省自然科学基金 (990 5 84)资助项目
关键词
离散滞后广义系统
稳定域
定量估计
singular systems
discrete_delay
uniform stability
uniform asymptotic stability
stability region
asymptotic stability region
