Abstract

AbstractThis paper develops new results on the stability and control of a class of linear repetitive processes described by a second‐order matrix discrete or differential equation. These are developed by transformation of the second‐order dynamics to those of an equivalent first‐order descriptor state‐space model, thus avoiding the need to invert a possibly ill‐conditioned leading coefficient matrix in the original model. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

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