Stability of time-delay systems via Lyapunov functions

Abstract

In this paper, a Lyapunov function candidate is introduced for muttivariable systems with inner delays, without assuming a priori stability for the nondelayed subsystem. By using this Lyapunov function, a controller is deduced. Such a controller utilizes an input-output description of the original system, a circumstance that facilitates practical applications of the proposed approach.