Further results on absolute stability of Lur´e systems with interval time-varying delay

This paper is focused on the absolute stability of Lur´e systems with interval time-varying delay. By constructing a complete delay-decomposing Lyapunov-Krasovskii functional and considering the relationship between the time-varying delay and time-varying interval, less conservative delay-range-dependent stability criteria in terms of linear matrix inequalities (LMIs) are obtained, which have wider application than the existing ones because the low bound and upper bound of time-varying delay can be freely decomposed at one´s discretion. A numerical example is given to show the effectiveness of the proposed method.