Delay-range-dependent admissibility analysis for singular systems with time-varying delay and markovian jumping parameters

This paper investigates the problem of delay-dependent admissibility analysis for a class of singular systems with time-varying delay in a range and Markovian jumping parameters. By implementing linear matrix inequality(LMI) approach, a new set of delay dependent sufficient condition is derived which guarantees that the singular system with time-varying delay and Markovian jumping parameters to be regular, impulse-free and stochastically stable. A numerical example is provided to demonstrate the efficiency of the proposed methods in this paper.