Structural Stability and Equivalence of Linear 2D Discrete Systems

被引：1
作者：
Bachelier, Olivier
David, Ronan
Yeganefar, Nima [1 ,2 ]
Cluzeau, Thomas [3 ,4 ,5 ]
机构：
[1] Univ Poitiers, TSA 41105, Batiment B25,2 Rue Pierre Brousse, F-86073 Poitiers, France
[2] LIAS ENSIP, TSA 41105, Batiment B25,2 Rue Pierre Brousse, F-86073 Poitiers, France
[3] Univ Limoges, 123 Ave Albert Thomas, F-87060 Limoges, France
[4] CNRS, 123 Ave Albert Thomas, F-87060 Limoges, France
[5] XLIM UMR 7252, 123 Ave Albert Thomas, F-87060 Limoges, France
来源：
IFAC PAPERSONLINE | 2016年 / 49卷 / 09期
关键词：
System theory; algebraic approaches; multidimensional systems; discrete systems; structural stability; stabilization methods; STATE-SPACE MODEL; STABILIZATION;
D O I：
10.1016/j.ifacol.2016.07.514
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study stability issues for linear two-dimensional (2D) discrete stems 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. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：136 / 141
页数：6
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