Decentralized stabilization for interconnected time-delay systems

Decentralized state-feedback control for a class of linear interconnected discrete-time system is proposed in this paper. The interconnections of the subsystems are norm bounded. The state-feedback sub-controllers only make use of the local information of the corresponding subsystems. And the feedback information contains time-varying delays. The time delays of subsystems are assumed to be bounded and is independent from the characteristics of other subsystems, the global stability of the interconnected system is analyzed by using the Lyapunov-Krasovskii functional approach. The decentralized state-feedback controller is obtained by solving the resultant stability criterion. Simulations show the effectiveness of the proposed control scheme.