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 sucient 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.