Improved delay-dependent stability criteria for continuous system with two additive time-varying delay components

•Two additive time-varying delay components has been discussed.•Free weighting matrices and convex combination method are not involved.•Less conservative delay-dependent stability criterion is derived.

This paper investigated the problem of improved delay-dependent stability criteria for continuous system with two additive time-varying delay components. Free weighting matrices and convex combination method are not involved, which achieves much less numbers of linear matrix inequalities (LMIs) and LMIs scalar decision variables. By taking advantage of integral inequality and new Lyapunov–Krasovskii functional, new less conservative delay-dependent stability criterion is derived. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.