Controllability and observability of linear retarded systems in Banach spaces
作者:
Shin-Ichi Nakagiri,
Masahiro Yamamoto,
期刊:
International Journal of Control
(Taylor Available online 1989)
卷期:
Volume 49,
issue 5
页码: 1489-1504
ISSN:0020-7179
年代: 1989
DOI:10.1080/00207178908559721
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Controllability and observability are studied for linear retarded systems in a Banach spaceX.Both theX-exact and theX-approximate controllability are considered and a number of necessary and sufficient conditions in terms of the coefficient operators and/or the fundamental solution are presented. Various corresponding concepts for observability are introduced and the duality between controllability and observability is clarified. An applicable condition for theX-approximate controllability and theX*-observability is established under the assumptions that the control is a finite dimensional one and the system of generalized eigenspaces is projectively complete. The condition is stated in terms of eigenvectors and controllers.
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