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| 闭环系统Riesz基生成的条件 | |
| 引用本文： | 张新鸿,李瑞娟,李胜家,王耀庭.闭环系统Riesz基生成的条件[J].数学的实践与认识,2010,40(8). |
| 作者姓名： | 张新鸿 李瑞娟 李胜家 王耀庭 |
| 作者单位： | 1. 太原科技大学,应用数学系,山西,太原030024 2. 山西大学,数学与应用数学研究所,山西,太原,030006 3. 山西大学,数学科学学院,山西,太原,030006 |
| 基金项目： | 山西省自然科学基金(2007011002); 太原科技大学青年基金 |
| 摘 要： | 研究一般Hilbert空间X上的闭环系统广义本征元的Riesz基生成问题,采用基扰动的方法,给出了闭环系统广义本征元生成Riesz基的充分条件,并用实例说明了结论的应用. |
| 关 键 词： | 闭环系统 广义本征元 Riesz基 |
A Condition for a Closed-loop System to Form a Riesz Basis |
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| ZHANG Xin-hong,LI Rui-juan,LI Sheng-jia,WANG Yao-ting.A Condition for a Closed-loop System to Form a Riesz Basis[J].Mathematics in Practice and Theory,2010,40(8). | |
| Authors: | ZHANG Xin-hong LI Rui-juan LI Sheng-jia WANG Yao-ting |
| Affiliation: | ZHANG Xin-hong~1,LI Rui-juan~2,LI Sheng-jia~2,WANG Yao-ting~3 (1.Department of Applied Mathematics,Taiyuan University of Science , Technology,Taiyuan 030024,China) (2.Institute of Mathematics , Applied Mathematics,Shanxi University,Taiyuan 030006,China) (3.School of Mathematical Sciences,China) |
| Abstract: | In this paper,we deal with the Riesz basis of the closed-loop system.Using perturbation theory for basis,we give a sufficient condition which guarantees all generalized eigenvectors of the closed-loop system to form a Riesz basis.Finally,a typical example is presented to illustrate the application of our result. |
| Keywords: | closed-loop system spectral distribution riesz basis |
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