| Duality of 2-D singular systems of Roesser models |
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| 作者姓名： | Yun ZOU Huiling XU |
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| 作者单位： | 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 |
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| 基金项目： | This work was supported in part by the National Natural Science Foundation of China （No. 60474078, 60574015, 60674014）, and in part by Jiangsu Planned Projects for Postdoctoral Research Funds （0601010B）. |
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| 摘 要： | 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.
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| 关 键 词： | 二维系统 奇异系统 对偶性 可控性 ROESSER模型 |
| 收稿时间： | 2004-10-11 |
| 修稿时间： | 2006-09-28 |
Duality of 2-D singular systems of Roesser models |
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| Yun ZOU,Huiling XU.Duality of 2-D singular systems of Roesser models[J].Journal of Control Theory and Applications,2007,5(1):37-41. |
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| Authors: | Yun ZOU Huiling XU |
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| Affiliation: | 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 |
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| Abstract: | 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. |
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| Keywords: | 2-D systems Singular systems Duality Controllability |
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