摘要
基于Lyapunov稳定性理论,利用辅助函数方法研究由变时滞分布参数控制系统所导出的滑动模运动方程的指数渐近稳定性问题,获得了一类滑动模运动方程指数渐进稳定的充分条件,建立了滑动模运方程解的指数渐近稳定性定理。这就为研究时滞分布参数系统的变结构控制问题奠定了理论基础。
Based on Lyapunov stability theory, the exponential asymptotical stability for a class of sliding mode equations rising in distributed parameter control systems with time delays is investigated by using inequality analysis as the main mathematic tool. Sufficient conditions are found for exponential asympotical stability for the sliding mode equations with delays and a theorem of the exponential asympotical stability for the sliding mode equations is established. The results on the exponential asymptotical stability of the distriubted parameter control systems with time delays provide the theoretical foundation for the variable structure control problem of the distributed parameter systems.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2003年第5期579-583,共5页
Systems Engineering and Electronics
基金
国家自然科学基金(69934030)
广东省自然科学基金(011629)资助课题
关键词
分布参数系统
指数渐近稳定性
滑动模方程
时滞
Distributed parameter system
Exponential asymptotical stability
Sliding mode equation
Delay
