Structural Stability and Equivalence of Linear 2D Discrete Systems¹

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• 作者：Olivier Bachelier ^{olivier.bachelier@univ-poitiers.fr" class="auth_mail" title="E-mail the corresponding author} ; Ronan David ^{ronan.david@univ-poitiers.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：System theory ; algebraic approaches ; multidimensional systems ; discrete systems ; structural stability ; stabilization methods
• 刊名：IFAC-PapersOnLine
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：49
• 期：9
• 页码：136-141
• 全文大小：493 K

文摘

We study stability issues for linear two-dimensional (2D) discrete systems by means of the constructive algebraic analysis approach to linear systems theory. We provide a general definition of structural stability for linear 2D discrete systems which coincides with the existing definitions in the particular cases of the classical Roesser and Fornasini-Marchesini models. We then study the preservation of this structural stability by equivalence transformations. Finally, using the same framework, we consider the stabilization problem for equivalent linear systems.