离散切换正时变时滞系统的有限时间稳定与l_(1)滤波

Finite-time stability and l_(1) filtering of discrete switched positive systems with time-varying delay

讨论了一类离散切换正时变时滞系统的有限时间稳定性及其l_(1)滤波问题.首先,通过构造一类合适的李亚普诺夫函数,建立了模型依赖平均驻留时间(MDADT)下的离散切换正时变时滞系统的有限时间稳定性的判定条件;然后,基于所得结论设计了一个滤波器,并给出了滤波误差系统是有限时间稳定的且具有1滤波的充分条件;最后,利用两个算例验证了所得结论的有效性.

The finite time stability and l_(1),filtering problem of discrete switching positive time-varying delayed systems are discussed.First,by constructing a class of Lyapunov function,some criteria for the finite-time stability of discrete switching positive systems wih time-varying delay are established under mode dependent average dwell time(MDADT):Then,a filter is designed based on the obtained conclusions,and sufficient conditions is estiblished that the filtering error system is finite time stable and exhibit an lfiltering;Finally,two numerical examples are proved the validity of the obtained conclusions.