The Robustness of Strong Stability of Positive Homogeneous Difference Equations

The Robustness of Strong Stability of Positive Homogeneous Difference Equations

We study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. We also show that in the case of positive systems, these radii coincide. Finally, a simple example is given.

Bibliographic Details
Main Authors: The Anh Bui, Dang Xuan Thanh Duong
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2008/124269
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spelling doaj-7ec4e1591ba14d9abee3b810e0191de12020-11-24T20:57:19ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422008-01-01200810.1155/2008/124269124269The Robustness of Strong Stability of Positive Homogeneous Difference EquationsThe Anh Bui0Dang Xuan Thanh Duong1Department of Mathematics, University of Pedagogy, 280 An Duong Vuong Street, HoChiMinh City 70000, VietnamDepartment of Mathematics, Ton Duc Thang University, 98 Ngo Tat To Street, HoChiMinh City 70000, VietnamWe study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. We also show that in the case of positive systems, these radii coincide. Finally, a simple example is given.http://dx.doi.org/10.1155/2008/124269
collection DOAJ
language English
format Article
sources DOAJ
author The Anh Bui
Dang Xuan Thanh Duong
spellingShingle The Anh Bui
Dang Xuan Thanh Duong
The Robustness of Strong Stability of Positive Homogeneous Difference Equations
Journal of Applied Mathematics
author_facet The Anh Bui
Dang Xuan Thanh Duong
author_sort The Anh Bui
title The Robustness of Strong Stability of Positive Homogeneous Difference Equations
title_short The Robustness of Strong Stability of Positive Homogeneous Difference Equations
title_full The Robustness of Strong Stability of Positive Homogeneous Difference Equations
title_fullStr The Robustness of Strong Stability of Positive Homogeneous Difference Equations
title_full_unstemmed The Robustness of Strong Stability of Positive Homogeneous Difference Equations
title_sort robustness of strong stability of positive homogeneous difference equations
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2008-01-01
description We study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. We also show that in the case of positive systems, these radii coincide. Finally, a simple example is given.
url http://dx.doi.org/10.1155/2008/124269
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AT dangxuanthanhduong therobustnessofstrongstabilityofpositivehomogeneousdifferenceequations
AT theanhbui robustnessofstrongstabilityofpositivehomogeneousdifferenceequations
AT dangxuanthanhduong robustnessofstrongstabilityofpositivehomogeneousdifferenceequations
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