New delay-range-dependent stability condition for linear system

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.