Resently, I study robust MPC based on LMI. A number of literatures use Lyapunov-Krasovskii function to research time-delay system. I don't know I can use Lyapunov-Krasovskii function to study non time-delay system?
Usually a function Lyapunov Krasovskii together with a Razumikhin theorem it's used to obtain stability condition for systems with delay. For delay =0 are obtain results (but not new results) for systems without delay