Decentralized Control of Large-Scale Stochastic High-Order Upper-Triangular Time-Delay Systems

The problem of decentralized control for a class of large-scale stochastic high-order upper-triangular time-delay systems is dealt with in this paper. On the basis of stochastic time-delay system stability criterion and homogeneous domination method, by choosing a suitable Lyapunov-Krasoviskii functional, the decentralized state-feedback controller is constructed such that the closed-loop system is globally asymptotically stable in probability. A simulation example is given to verify the effectiveness of the proposed design scheme.