Abstract:Robust stability problem of singular systems with multiple delays is discussed. A new Lyapunov-Krasovskii
functional(LKF) is introduced, which combines the discretization method of LKF to give the condition such that the singular
system with multiple delays is regular, impulse free and stable. Furthermore, the result is extended to uncertain singular
system with multiple delays, where the parameter uncertainty is assumed to be norm bounded. Numerical examples illustrate
the effectiveness and feasibility of the proposed method.