Abstract

This article investigates the guaranteed cost control problem for the stochastic distribution system with time-delay. Attention is focused on a memory state feedback control law based on Linear Matrix Inequality (LMI) with model transformation such that the closed-loop system is asymptotically stable and the guaranteed cost index is not more than a specied upper bound, which ensure that the system output Probability Density Function (PDF) follows the target probability density function. A comparative study of an example problem has show to illustrate the proposed method.

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