New stability analysis for systems with interval time-varying delay

The paper is concerned with the stability of linear systems with interval time-varying delay. A new augmented Lyapunov–Krasovskii functional (LKF) is constructed, then its time derivative is estimated by improved reciprocally convex approach, and as a result, new less conservative stability criteria are obtained in terms of linear matrix inequalities. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results.