New condition of delay-dependent robust H-infinity stability for uncertain singular system

The problem of delay-dependent robust H-infinity stability for uncertain singular systems with state time delay is investigated in this paper. A new necessary and sufficient condition under which the singular system without time delay is regular, impulse-free and stable (admissible for briefly) is given. Based on this condition, a delay-dependent robust H-infinity admissible criterion is obtained for uncertain singular time-delay system in terms of linear matrix inequality (LMI) approach for all admissible uncertainties. Furthermore, some numerical examples are provided to demonstrate the efficiency of the proposed methods.