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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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