The robust stability of linear system with interval time-varying delay is investigated. A delay-dependent robust stability criteria for linear system with interval time-varying delay is derived by using an augmented Lyapunov functional combined with the integral inequality approach. Unlike existing methodologies, the proposed approach involves neither free-weighting matrix nor any model transformation, so that it can reduce the complexity both in theory and in computation. And this approach doesn’t ignore some useful terms when estimating the upper bound of the derivative of Lyapunov functional.
Numerical examples show the effectiveness and less conservatism of the proposed criteria.