Duality of 2-D singular systems of Roesser models

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• 作者：Yun Zou ; Huiling Xu
• 关键词：2 ; D systems ; Singular systems ; Duality ; Controllability
• 刊名：Control Theory and Technology
• 出版年：2007
• 出版时间：February 2007
• 年：2007
• 卷：5
• 期：1
• 页码：37-41
• 全文大小：108 KB
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  [17]Y. Zou, W. Wang, S. Xu. Structural stability of 2-D singular systems part II: a Lyapunov approach[C]//Proceedings of the Fourth International Conference on Control and Automation. Canada: IEEE Operations Center, 2003: 565鈥?69.
  
• 作者单位：Yun Zou (1)
  Huiling Xu (2)
  
  1. Department of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094, China
  2. Department of Mathematics, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094, China
  
• 刊物类别：Control; Systems Theory, Control; Optimization; Computational Intelligence; Complexity; Control, Rob
• 刊物主题：Control; Systems Theory, Control; Optimization; Computational Intelligence; Complexity; Control, Robotics, Mechatronics;
• 出版者：South China University of Technology and Academy of Mathematics and Systems Science, CAS
• ISSN：2198-0942

文摘

In this paper, the properties and concepts of dual systems of the two-dimensional singular Roesser models (2-D SRM) are studied. Two different concepts of the dual systems are proposed for the 2-D SRM. One is derived from the duality defined for two-dimensional singular general models (2-D SGM)-called the S-dual systems; the other one is defined based on 2-D SRM in a traditional sense-called the T-dual systems. It is shown that if a 2-D SRM is jump-mode free or jump-mode reachable, then it can be equivalently transformed into a canonical form of a 2-D SRM, for which the T-duality and the S-duality are equivalent. This will be of some perspective applications in the robust control of 2-D SRM. Keywords 2-D systems Singular systems Duality Controllability