Further results on delay-dependent absolute and robust stability for time-delay Lur'e system

In this paper, together with two improved Lyapunov-Krasovskii functionals, several novel sufficient conditions are derived to guarantee two kinds of time-delay Lur'e system to be absolutely and robustly stable, in which the linear fractional uncertainties are involved, and both time-delay and its variation rate can be fully utilized. Through using the combined convex technique, some previously ignored terms can be reconsidered when estimating the triple integral Lyapunov-Krasovskii functional terms' derivative, and the criteria are presented in terms of LMIs, in which its solvability heavily depends on the information of addressed systems. Finally, the comparing results in the numerical examples demonstrate our idea can reduce the conservatism more efficiently than some present ones. Copyright (c) 2013 John Wiley & Sons, Ltd.