Research ArticleNew results on delay-range-dependent stability analysis for interval time-varying delay systems with non-linear perturbations

- This paper has presented new results on delay-range-dependent stability analysis for interval time-varying delay systems with non-linear perturbations.
- Integral inequality approach (IIA) and delayed decomposition approach (DDA) are combined to investigate the problem.
- An important feature of results reported here is that all conditions depend on both lower and upper bounds of the interval time-varying delays.
- Two well-known examples are given to show less conservatism of our obtained results and the effectiveness of the proposed method.

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.