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Stability of linear delayed systems subjected to digital control is analyzed. These systems can typically be written in the forṁ where t j = j∆t with ∆t being the sampling period for the digital controller. The point-delay term x(t − τ ) is assumed to be inherently present in the governing equation of the uncontrolled system, while the term x(t j−1 ) is present due to the digital controller. Since the term x(t j−1 ) can be represented as a term with a piecewise linearly varying time delay, thedoi:10.1007/978-3-319-01695-5_6 fatcat:2j6pc2qh4jdmdasso4oqd3qvqi