Abstract

This paper deals with the decentralized state feedback control problem for a class of large-scale stochastic high-order nonlinear time-delay systems. On the basis of stochastic nonlinear time-delay system theory, by using homogeneous domination technique and choosing a suitable Lyapunov- Krasoviskii functional, the decentralized state feedback controller is constructed for each subsystem to ensure that the closed-loop system is globally asymptotically stable in probability. The effectiveness of the proposed controller is demonstrated by an example.

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