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

Abstract

An improved delay- and range-dependent robust stability and H-infinity 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. (C) 2012 Elsevier Inc. All rights reserved.