Improved delay-dependent stability conditions for systems with interval time-varying delay

This paper deals with the stability issues of linear systems with interval time-varying delay. Firstly, two kinds of time-varying delay are considered. Then, based on a new delay bisection approach and a tighter bounding inequality, some less conservative stability conditions are proposed, which are effective for both slow and fast time-varying delay. No model transformation and no slack matrix variable are introduced. Furthermore, overly bounding for some cross term is avoided. Finally, two numerical examples are given to show the effectiveness of the proposed results.