Robust decentralized stabilization for uncertain interconnected delayed systems using reduction method

The so-called reduction method is extended to the case of large-scale time-delayed systems. The problem of the robust stabilization for a class of uncertain interconnected systems with time-varying delays in the input is investigated. For the stability analysis, the Lyapunov second method and the LMI (linear matrix inequality) technique are utilized. A decentralized controller is proposed such that the closed loop system is asymptotically stable, and a sufficient condition for the stability is derived in terms of a LMI. A numerical example is given to illustrate the proposed method.