Delay-dependent robust admissibility for general uncertain time-delay descriptor systems with delay varying in a range

The paper addresses robust admissibility of continuous time-delay uncertain descriptor systems with delay varying in a range and meanwhile all system matrices are assumed to contain the norm-bounded uncertainty. Three equivalent sufficient LMI conditions to ensure admissibility of the nominal time-delay descriptor system are first derived. The last set of LMIs is exploited to obtain conditions for robust admissibility of two cases of uncertain descriptor systems. Numerical examples are included to illustrate the derived results.