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This paper investigates the problem of robust exponential admissibility for a class of continuous-time uncertain switched singular systems with interval time-varying delay.By defining a properly constructed decay-rate-dependent Lyapunov function and the average dwell time approach,a delay-range-dependent sufficient condition is derived for the nominal system to be regular,impulse free,and exponentially stable.This condition is also extended to uncertain case.The obtained results provide a solution to one of the basic problems in continuous-time switched singular time-delay systems,that is,to identify a switching signal for which the switched singular time-delay system is regular,impulse free,and exponentially stable.Numerical examples are given to demonstrate the effectiveness of the obtained results.
This paper investigates the problem of robust exponential admissibility for a class of continuous-time uncertain switched singular systems with interval time-varying delay. By defining a proper constructed decay-rate-dependent Lyapunov function and the average dwell time approach, a delay-range -dependent sufficient condition is derived for the nominal system to be regular, impulse free, and exponentially stable. This condition is also extended to uncertain case. The obtained results provide a solution to one of the basic problems in continuous-time switched singular time- delay systems, that is, to identify a switching signal for which the switched singular time-delay system is regular, impulse free, and exponentially stable. Numerical examples are to demonstrate the effectiveness of the obtained results.