Sensitivity of Schur stability of systems of linear difference equations with periodic coefficients

In this study, the sensitivity of Schur stability of systems of linear difference equations with periodic coefficients has been examined. The modified continuity theorems based on the parameters ?0 and ?² have been given for Schur stability of linear difference equations with periodic coefficients....

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Bibliographic Details
Main Authors: Ahmet DUMAN, Kemal AYDIN
Format: Article
Language:English
Published: BİSKA Bilisim Company 2016-04-01
Series:New Trends in Mathematical Sciences
Subjects:
Online Access:https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7141
Description
Summary:In this study, the sensitivity of Schur stability of systems of linear difference equations with periodic coefficients has been examined. The modified continuity theorems based on the parameters ?0 and ?² have been given for Schur stability of linear difference equations with periodic coefficients. Also, new results have been obtained for sensitivity of ?^{*}-Schur stability based on the parameters ?0 and ?². All the results have been applied to linear difference equations with periodic coefficients with order k. kD-ball regions of Schur stability and ?^{*}-Schur stability have been determined. In addition, the results related to kD-ball regions have been given.
ISSN:2147-5520
2147-5520