Stability analysis of singular LPV systems with time-varying delays : A projection approach

This paper deals with the problem of stability analysis for singular LPV systems with time-varying delay. Firstly, a criterion described by linear matrix inequalities (LMIs) is obtained based on the construction of a new parameter-dependent Lyapunov function. Secondly, based on projection approach, a new stability criterion is given with reduction both in conservatism and computational complexity as compared with the existing methods. The effectiveness of the proposed approach is shown by several numerical examples.