New delay-dependent stability criteria using improved double integral inequality for singular systems

This paper deals with the problem of delay-dependent stability for singular time-delay systems. By applying Wirtinger-based integral inequalities and a tighter double integral inequality and using augmented Lyapunov-Krasovskii functional, a sufficient delay-dependent criterion is derived on the basis of linear matrix equalities(LMIs). Numerical examples are computed to obtain the upper bound of the maximum time-delay and illustrate the strength and less conservativeness of method proposed in this study.