Delay-dependent stability analysis of singular linear systems with time-variant delay: A piecewise analysis method

This paper deals with the problem of stability analysis for singular systems with time-varying delay based on a piecewise analysis method. The method divides the variation interval of the time-delay into several subintervals, and then checks the variation of the time-delay in every subinterval to obtain new less conservative delay-dependent stability criteria. The effectiveness of the proposed approach is shown by a pair of numerical examples.