New results on delay-dependent stability conditions for uncertain linear systems with two additive time-varying delays

In this study, we explore a novel delay-dependent criterion for asymptotic stability in linear systems with two additive time-varying delays and nonlinear perturbations. By utilizing the Newton-Leibniz formula, the extended Jensen's double integral inequality, the extended Wirtinger's integral inequality, a novel Lyapunov-Krasovskii functional and the application of zero equations, we derive sufficient conditions for the system's asymptotic stability in the form of linear matrix inequalities. Additionally, we introduce new delay-dependent stability conditions specifically for these linear systems with two additive time-varying delays. Numerical examples are provided to illustrate the feasibility and effectiveness of the theorems.