Stability analysis of interval time-varying delay system via a delay-partition approach

This paper is considered with the stability problem of linear system with interval time-varying delay. The delay is assumed to be differential with interval bounds, in which the delay derivative is also bounded in an interval. Since we construct a tunable delay-partition-dependent Lyapunov Krasovskii (LK) functional and further estimate a tighter upper bound of its derivative, the derived stability condition has advantage over existing ones, in which the upper bound of the derivative in quadratic terms are fully estimated and it can also work when upper bound of delay derivative is greater than one. Finally, two examples are given to show the effectiveness of the proposed approach.