Abstract
In this paper, we analyze the stability of a Networked Control System with random delay. We consider a first order continuous process that is sampled at constant intervals, a discrete controller and a control delay less than one sampling period. Analytical expressions are obtained for the probability density function (pdf) of the eigenvalues of the closed loop system. Our objective is to determine the probability of the system become unstable for given design parameters and for a given pdf model for the control delay.
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