On multidimensional convolutional codes and controllability properties of multidimensional systems over finite rings

Eva Zerz · Asian Journal of Control · 2010

Abstract Using the behavior‐code duality pointed out by Rosenthal et al., we study the relations between certain desirable features of a code and the corresponding controllability properties of its behavior. Module‐theoretic characterizations are provided as well. The coefficients of the codes and behaviors are taken to be integers modulo m, where m is not necessarily prime. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

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