On Exact Controllability of Infinite-Dimensional Linear Port-Hamiltonian Systems

被引:8
|
作者
Jacob, Birgit [1 ]
Kaiser, Julia T. [1 ]
机构
[1] Univ Wuppertal, Sch Math & Nat Sci, D-42119 Wuppertal, Germany
来源
IEEE CONTROL SYSTEMS LETTERS | 2019年 / 3卷 / 03期
关键词
Distributed parameter systems; control of networks; linear systems;
D O I
10.1109/LCSYS.2019.2916814
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Infinite-dimensional linear port-Hamiltonian systems on a 1-D spatial domain with full boundary control and without internal damping are studied. This class of systems includes models of beams and waves as well as the transport equation and networks of nonhomogeneous transmission lines. The main result shows that well-posed port-Hamiltonian systems, with state space L-2((0,1); C-n) and input space C-n, are exactly controllable.
引用
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页码:661 / 666
页数:6
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