Perturbation theory of boundary value problems and approximate controllability of perturbed boundary control problems

被引：2
|
作者：
Hadd, Said [1 ]
Zhong, Qing-Chang [1 ]
机构：
[1] Univ Liverpool, Dept Elect Engn & Elect, Liverpool L69 3GJ, Merseyside, England
来源：
47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | 2008年
关键词：
Boundary value problem; perturbation theory; approximate controllability; regular systems;
D O I：
10.1109/CDC.2008.4739281
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A semigroup approach for the well-posedness of perturbed nonhomogeneous abstract boundary value problems is developed in this paper. This allows us to introduce a useful variation of constant formula for the solutions. Drawing from this formula, necessary and sufficient conditions for the approximate controllability of such systems are obtained, using the feedback theory of well-posed and regular linear systems developed by Salamon, Staffans and Weiss.
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页码：1465 / 1470
页数：6
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