Robust design of stabilizing controllers for interconnected time-delay systems

This paper develops a linear decentralized controller that guarantees the exponential stabilization of a class of interconnected uncertain systems with delays. The uncertainties are mismatched and are composed of three portions: local (within each subsystem), interaction (across the subsystem couplings) and state delay. The stability analysis is based on the constructive use of Lyapunov functional. It has been established that the developed stabilizing controller renders the closed-loop interconnected system globally exponentially stable to a calculable zone around the origin. (C) 1998 Published by Elsevier Science Ltd. All rights reserved.