Skip Navigation


IMA Journal of Mathematical Control and Information Advance Access originally published online on November 22, 2005
IMA Journal of Mathematical Control and Information 2006 23(1):11-41; doi:10.1093/imamci/dni037
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
23/1/11    most recent
dni037v1
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 Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (2)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Karafyllis, I.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

IMA Journal of Mathematical Control and Information © Institute of Mathematics and its Applications 2005; all rights reserved.

Non-uniform robust global asymptotic stability for discrete-time systems and applications to numerical analysis

Iasson Karafyllis

Division of Mathematics, Department of Economics, University of Athens, 8 Pesmazoglou Street, 10559, Athens, Greece

The notion of non-uniform Robust Global Asymptotic Stability (RGAS) presented in this paper generalizes the notion of non-uniform in time RGAS for finite- or infinite-dimensional discrete-time systems. Lyapunov characterizations for this stability notion are provided. The results are applied to finite-dimensional discrete-time systems obtained by time discretization of continuous-time systems by the explicit Euler method.

Keywords: discrete-time systems; time discretization; Lyapunov functions.

Received on 24 July 2004. accepted on 6 January 2005.


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.