Improved approach to robust stability and H∞H∞ performance analysis for systems with an interval time-varying delay

An improved delay- and range-dependent robust stability and H∞H∞ performance analysis criterion for systems with an interval time-varying delay is investigated. A novel Lyapunov–Krasovskii functional containing triple-integral terms is established, and an extended free-weighting matrix method, double-integral inequality method is subsequently proposed. Numerical examples validate the effectiveness of the proposed double-integral inequality method and show that our approach is less conservative than existing methods.