Skip Navigation

IMA Journal of Mathematical Control and Information 2002 19(1 and 2):217-227; doi:10.1093/imamci/19.1_and_2.217
© 2002 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 Loiseau, J. J.
Right arrow Articles by Dusser, X.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Neutral-type time-delay systems that are not formally stable are not BIBO stabilizable

Jean Jacques Loiseau1, Michel Cardelli1 and X. Dusser1

1 Institut de Recherche en Communications et Cybernétique de Nantes, UMR CNRS 6597, 1 rue de la Noë, BP 92101, 44321 Nantes Cedex 03, France

It is shown that a time-delay system of neutral type that is not formally stable cannot be stabilized, in the sense of bounded input bounded output (BIBO) Stabilization, by any feedback in the large class of distributed systems that are Laplace transformable, even using derivatives in the control law. As a result, a time-delay system of neutral type is BIBO stabilizable if and only if it is formally stable and spectrally stabilizable.

Keywords: convolution systems; neutral-type time-delay systems; feedback system; BIBO stability; stabilization.


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.