Finite-Time Attractivity for Diagonally Dominant Systems with Off-Diagonal Delays
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We introduce a notion of attractivity for delay equations which are defined on bounded time intervals.
Our main result shows that linear delay equations are finite-time attractive, provided that the delay is only in the coupling terms between different components, and the system is diagonally dominant.
We apply this result to a nonlinear Lotka-Volterra system and show that the delay is harmless and does not destroy finite-time attractivity.
American Psychological Association (APA)
Doan, T. S.& Siegmund, Stefan. 2012. Finite-Time Attractivity for Diagonally Dominant Systems with Off-Diagonal Delays. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-454809
Modern Language Association (MLA)
Doan, T. S.& Siegmund, Stefan. Finite-Time Attractivity for Diagonally Dominant Systems with Off-Diagonal Delays. Abstract and Applied Analysis No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-454809
American Medical Association (AMA)
Doan, T. S.& Siegmund, Stefan. Finite-Time Attractivity for Diagonally Dominant Systems with Off-Diagonal Delays. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-454809
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454809