Exponential Stability Criteria for Nonautonomous Difference Systems
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-29
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The aim of this paper is to characterize the exponential stability of linear systems of difference equations with slowly varying coefficients.
Our approach is based on the generalization of the freezing method for difference equations combined with new estimates for the norm of bounded linear operators.
The main novelty of this work is that we use estimates for the absolute values of entries of a matrix-valued function, instead of bounds on its eigenvalues.
By this method, new explicit stability criteria for linear nonautonomous systems are derived.
American Psychological Association (APA)
Medina, Rigoberto. 2014. Exponential Stability Criteria for Nonautonomous Difference Systems. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-454441
Modern Language Association (MLA)
Medina, Rigoberto. Exponential Stability Criteria for Nonautonomous Difference Systems. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-454441
American Medical Association (AMA)
Medina, Rigoberto. Exponential Stability Criteria for Nonautonomous Difference Systems. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-454441
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454441