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Stability and Stabilizability for Linear Systems of Difference Equations.
- Source :
- Journal of Difference Equations & Applications; Oct2004, Vol. 10 Issue 12, p1085-1105, 21p
- Publication Year :
- 2004
-
Abstract
- The aim of this paper is to characterize the uniform exponential stability of difference equations. We obtain very general input-output conditions for stability of difference equations using diverse vector valued sequence spaces. As an application, we obtain an estimation for the lower hound of the stability radius of a linear control system of difference equations. Finally, we characterize the stability of systems of difference equations in terms of stabilizability and detectability, obtaining discrete-time vemions for a result due to Clark, Latushkin, Montgomery- Smith and Randolph. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 10
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 15306347
- Full Text :
- https://doi.org/10.1080/10236190412331314178