On the connection between discrete linear repetitive processes and 2-D discrete linear systems

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• 作者：M. S. Boudellioua ; K. Galkowski…
• 关键词：Linear repetitive processes ; 2 ; D discrete systems ; System matrix ; 2 ; D singular form ; Zero ; coprime system equivalence ; Invariant zeros
• 刊名：Multidimensional Systems and Signal Processing
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：28
• 期：1
• 页码：341-351
• 全文大小：452KB
• 刊物类别：Engineering
• 刊物主题：Circuits and Systems; Electrical Engineering; Signal,Image and Speech Processing; Artificial Intelligence (incl. Robotics);
• 出版者：Springer US
• ISSN：1573-0824
• 卷排序：28

文摘

A direct method is developed that reduces a polynomial system matrix describing a discrete linear repetitive process to a 2-D singular state-space form such that all the relevant properties, including the zero structure of the system matrix, are retained. It is shown that the transformation linking the original polynomial system matrix with its associated 2-D singular form is zero coprime system equivalence. The exact nature of the resulting system matrix in singular form and the transformation involved are established.