Skip Navigation

IMA Journal of Mathematical Control and Information 1988 5(4):333-352; doi:10.1093/imamci/5.4.333
© 1988 by Institute of Mathematics and its Applications
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by BONTSEMA, J.
Right arrow Articles by CURTAIN, R. F.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Perturbation Properties of a Class of Infinite-Dimensional Systems with Unbounded Control and Observation

JAN BONTSEMA and RUTH F. CURTAIN

Rijksuniversiteit Groningen, Mathematisch Instituut Postbus 800 9700 AV Groningen, The Netherlands

We define a class of infinite-dimensional systems with unbounded input and output operators which are closed under state-feedback, output-injection, and output-feedback perturbations. We give an explicit criterion for spectral systems to belong to this class. As an application, we extend the finite-dimensional result on the equivalence of input–output stability and exponential stability to this class. The theory is illustrated by a p.d.e. model of a beam with viscous damping.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.