A less conservative criterion for stability analysis of linear systems with time-varying delay

This paper investigates the problem of stability analysis for linear systems with time-varying delay. to reduce the conservativeness of sufficient stability conditions, a novel augmented lyapunov-krasovskii functional (lkf) which includes quadratic terms of double-integral phrases is introduced; as well, the technique of free-weighting matrices with new slack variables is employed; moreover, a tighter integral inequality is derived for bounding the cross-product terms in the derivative of chosen lkf. numerical examples are presented to illustrate the superiority of the proposed method compared to some of the previously developed approaches.