Decentralized stabilization of large-scale systems with time delays

Based on Lyapunov-Krasovskii functional method, the problem of decentralized stabilization of large-scale systems with nonlinear time-delayed interconnections and uncertainties is investigated. A decentralized state-feedback controller is proposed to guarantee the asymptotic stability of the resulting closed-loop systems when bound functions of time-delayed interconnections are known. In case one can not determine the bound functions of the nonlinear time-delayed interconnections, an adaptive fuzzy controller is put forward to guarantee the stability of the resulting closed-loop large-scale systems. Finally, a numerical is provided to demonstrate the efficacy of the proposed control schemes.