Maximal Controllability for Boundary Control Problems

被引：32
|
作者：
Engel, Klaus-Jochen [2 ]
Fijavz, Marjeta Kramar [3 ]
Kloess, Bernd [1 ]
Nagel, Rainer [1 ]
Sikolya, Eszter [4 ]
机构：
[1] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany
[2] Univ Aquila, Dept Pure & Appl Math, I-67010 Laquila, AQ, Italy
[3] Univ Ljubljana, Fac Civil & Geodet Engn, Ljubljana 1000, Slovenia
[4] Eotvos Lorand Univ, Dept Appl Anal, H-1117 Budapest, Hungary
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2010年 / 62卷 / 02期
关键词：
Boundary control; Operator semigroups; Reachability spaces; Kalman condition; Flows in networks; PARABOLIC EQUATIONS; UNBOUNDED CONTROL; FLOWS; ADMISSIBILITY; SYSTEMS;
D O I：
10.1007/s00245-010-9101-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop a semigroup approach to abstract boundary control problems which allows to characterize the space of all approximately reachable states. We then introduce the "maximal reachability space" giving an upper bound for this space. The abstract results are applied to the flow in a network controlled in a single vertex.
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页码：205 / 227
页数：23
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