| Differentiability of the Pritchard-Salamon systems with admissible state-feedback |
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| 引用本文： | 于欣. Differentiability of the Pritchard-Salamon systems with admissible state-feedback[J]. 浙江大学学报(A卷英文版), 2005, 6(4): 311-314. DOI: 10.1007/BF02842061 |
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| 作者姓名： | 于欣 |
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| 作者单位： | Laboratory of |
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| 摘 要： | INTRODUCTION The Pritchard-Salamon class of infinite dimen-sional systems was first introduced by Pritchard andSalamon (1985; 1987) to provide a general abstractframework for linear quadratic control problems.Now, many papers on a wide range of control prob-lems for Pritchard-Salamon systems have appearedand many of its important mathematical and systemtheoretical properties have been revealed. We give thefollowing definition.Definition 1 Let W, V, U, Y be Hilbert sp…
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| 关 键 词： | Pritchard-Salamon系统 控制系统 分布参数系统 反馈 |
| 收稿时间： | 2004-02-02 |
| 修稿时间： | 2004-07-28 |
Differentiability of the pritchard-salamon systems with admissible state-feedback |
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| Yu Xin. Differentiability of the pritchard-salamon systems with admissible state-feedback[J]. Journal of Zhejiang University Science, 2005, 6(4): 311-314. DOI: 10.1007/BF02842061 |
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| Authors: | Yu Xin |
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| Affiliation: | (1) Laboratory of Information and Optimization Technology, Ningbo Institute of Technology, Zhejiang University, 315104 Ningbo, China |
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| Abstract: | Many papers on a wide range of control problems for Pritchard-Salamon systems have appeared and many of its important mathematical and system theoretical properties have been revealed. This paper deals with the differentiability of the Pritchard-Salamon system with admissible state-feedback. Spectrum analysis showed that under definite condition, the unbounded perturbation semigroup of the Pritchard-Salamon system is eventually differentiable. |
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| Keywords: | C0-semigroup Differentiability Admissible operator Pritchard-Salamon systems Perturbation |
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