Abstract
This paper proposes an improved delay-range-dependent stability condition for linear systems with an interval time-varying delay, which satisfies h(1) <= d(t) <= h(2). The improvement is achieved by representing d(t) as h(1) + h(t) with 0 <= h(t) <= h(2) - h(1), and then constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the constant time delay. It is illustrated via a numerical example that the proposed result is much less conservative than those available in the literature.