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On the discrete asymptotic stability conditions of perturbed linear discrete systems with periodic coefficients

Published online by Cambridge University Press:  17 February 2009

Kemal Uslu
Kemal Uslu
Affiliation:
The University of Selcuk, Science and Art Faculty, Department of Mathematics, Campus/Konya, Turkey; e-mail: [email protected].
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Abstract

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We study the discrete asymptotic stability conditions of the perturbed system of first-order linear difference equations with periodic coefficients under the assumption that the related unperturbed system is discrete asymptotically stable. These conditions are dependent on the perturbation matrix B(n) itself and a different parameter is given for obtaining some estimates for the solutions of the unperturbed system.

Keywords

discrete asymptotic stabilitylinear difference systems with periodic coefficientsLyapunov methods
Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 1 , July 2006 , pp. 135 - 142
Copyright
Copyright © Australian Mathematical Society 2006

References

[1]Akin, O. and Bulgak, H., “Linear difference equations and stability theory”, (Selcuk Univ. Research Centre of Applied Mathematics, Konya, 1998).Google Scholar
[2]Aydin, K., Bulgak, H. and Demidenko, G. V., “Numeric characteristics for asymptotic stability of solutions to linear difference equations with periodic coefficients”, Siberian Math. J. 41 (2000) 1005–1014.CrossRefGoogle Scholar
[3]Aydin, K., Bulgak, H. and Demidenko, G. V., “Continuity of numeric characteristics for asymptotic stability of solutions to linear difference equations with periodic coefficients”, SelcukJ. Appl. Math. 2 (2001) 5–10.Google Scholar
[4]Bulgakov, A. Ya. and Godunov, S. K., “Circular dichotomy of the matrix spectrum”, Sibirsk. Mat. Zh. 29 (1988) 59–70.Google Scholar
[5]Elaydi, S. N., An Introduction to Difference Equations (Springer, New York, 1996).CrossRefGoogle Scholar
[6]Godunov, S. K., Modern Aspects of Linear Algebra, Translations of Mathematical Monographs 175 (American Mathematical Society, Providence, RI, 1998).CrossRefGoogle Scholar