New stabilization method for linear systems with time-varying input delay

This paper presents new results on delay dependent stability and stabilization for linear systems with time-varying delays in a given range. With an appropriate Lyapunov functional, some delay-dependent criteria for deter mining the stability of the time-delay systems are obtained. In this paper, we propose a new state transformation technology to facilitate controller designing efficiently. The method is also applicable to the existing stability conditions reported by now, while the existing technologies may fail to derive computational control procedures from the stability conditions. Finally, some numerical examples well illustrate the effectiveness of the proposed method.