Stability criteria for continuous-time systems with additive time-varying delays

This paper studies the problem of stability analysis for continuous‐time systems with two additive time‐varying delay components. By taking the independence and the variation of the additive delay components into consideration, more general type of Lyapunov functionals are defined. Together with a tighter estimation of the upper bound of the cross‐product terms derived from the derivatives of the Lyapunov functionals, less conservative delay‐dependent stability criteria are established in terms of LMIs. Combining with a reciprocally convex combination technique, the newly obtained stability conditions are also less complex. Two numerical examples are given to illustrate the effectiveness and the significant improvement of the proposed method.