Finite-time stability and l1 filtering of discrete switched positive systems with time-varying delay
The finite time stability and l1 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 l1 filtering;Finally,two numerical examples are proved the validity of the obtained conclusions.
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