A less conservative delay-dependent stability for uncertain singular linear systems with time-delays

Abstract

In this paper, the delay-dependent stability problem is investigated for a class of singular time-delay (STD) systems with norm bounded parametric uncertainties. Without resorting to any bounding techniques for some cross terms and model transformation, the new less conservative delay-dependent stability criteria assuring the regularity, impulse-free and robust stability of the STD systems are derived by constructing a novel Lyapunov-Krasovskii functional (LKF). The present method incorporates a new integral-equality technique combined with a recently proposed idea of introducing free-weighting matrices.Numerical examples are provided to illustrate the effectiveness and less conservativeness of the developed techniques.