期刊
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
卷 16, 期 4, 页码 1077-1093出版社
EDP SCIENCES S A
DOI: 10.1051/cocv/2009036
关键词
Infinite-dimensional systems; hyperbolic boundary control systems; C-0-semigroup; well-posedness; regularity
资金
- European sponsored project Geo-Plex [IST-2001-34166]
- French NRA [ANR-06-JCJC-0011]
- Agence Nationale de la Recherche (ANR) [ANR-06-JCJC-0011] Funding Source: Agence Nationale de la Recherche (ANR)
We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show these systems are well-posed in the sense of Weiss and Salamon if and only if the state operator generates a C-0-semigroup. Furthermore, we show that the corresponding transfer function is regular, i.e., has a limit for s going to infinity.
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