Stability Analysis for Systems With Time Delays via New Integral Inequalities

This correspondence is concerned with the stability for interval time-delay systems. Triple integral inequalities without slack variables are proposed, which show more and more evident improvements as the degrees of intermediate polynomials increase. Driven by the proposed inequalities, the Lyapunov-Krasovskii functional with quadruple integrals and augmented vector consisting of triple integrals is constructed to derive less conservative stability criteria for time-delay systems. The numerical examples are provided to demonstrate the effectiveness of the proposed approaches.