Stabilization of systems with time-varying delay based on complete quadratic Lyapunov-Krasovskii functional

This paper describes a stabilizing condition based on the complete quadratic Lyapunov-Krasovskii functional for systems with time-varying delay. In the conventional method for deriving the stabilizing condition based on the complete quadratic Lyapunov-Krasovskii functional, only time-invariant delay has been considered. In contrast, the stabilizing condition of the proposed method depends on the maximum value of the time-varying delay, as well as the upper limit of the rate of change of the time-varying delay. Consequently, we can design a controller that considers time-varying delay.