Skip Navigation

IMA Journal of Mathematical Control and Information 1998 15(3):233-240; doi:10.1093/imamci/15.3.233
© 1998 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 FARINA, L.
Right arrow Articles by BENVENUTI, L.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Invariant polytopes of linear systems

LORENZO FARINA and LUCA BENVENUTI

Dipartimento di Informatica e Sistemistica, Università degli Studi di Roma ‘La Sapienza’ Via Eudossiana 18, 00184 Roma, Italy Fax: +39-6-44585367; e-mail: lorenzo{at}riscdis.ing.uniromal.it, luca{at}riscdis.ing.uniromal.it

Stable linear systems possess invariant sets which have hyperellipsoidal regions associated with their Lyapunov function. In real systems, however, state and control variables are often confined in bounded polyhedral regions(polytopes) so that a set of linear inequalities has to be satisfied. In this paper, necessary and sufficient conditions for the existence of positively invariant polytopes for both discrete-time and continuous-time linear systems are given in terms of their spectral properties.


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.