An improvement on "Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty"

In this paper, an improvement on the stability result in the above paper by Jin-Hoon (see ibid. vol.46 (2001)) is given based on a modified Lyapunov function. It is shown that our result is much less conservative than that in the paper, especially when the size of derivative of the time delay increases. For comparison, we give two examples.