title: New results on delay-range-dependent stability analysis for interval time-varying delay systems with non-linear perturbations.
abstract: This paper studies the problem of the stability analysis of interval time-varying delay systems with nonlinear perturbations. Based on the Lyapunov-Krasovskii functional (LKF), a sufficient delay-range-dependent criterion for asymptotic stability is derived in terms of linear matrix inequality (LMI) and integral inequality approach (IIA) and delayed decomposition approach (DDA). Further, the delay range is divided into two equal segments for stability analysis. Both theoretical and numerical comparisons have been provided to show the effectiveness and efficiency of the present method. Two well-known examples are given to show less conservatism of our obtained results and the effectiveness of the proposed method.
authors: Department of Automation Engineering Institute of Mechatronoptic System, Chienkuo Technology University, Changhua 500, Taiwan, ROC. Electronic address: lpl@cc.ctu.edu.tw.
authors: Pin-Lin
authors: PL
authors: Liu
keywords: Delayed decomposition approach (DDA); Integral inequality approach (IIA); Interval time-varying delay; Linear matrix inequality (LMI); Maximum allowable upper bounds (MAUB)