Asymptotic stability of solutions to perturbed linear difference equations with periodic coefficients
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Dosyalar
Tarih
2002
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We consider perturbed linear systems of difference equations with periodic coefficients. The zero solution of a nonperturbed system is assumed asymptotically stable, i.e., all eigenvalues of the monodromy matrix belong to the unit disk {|?| < 1}. We obtain conditions on the perturbation of this system under which the zero solution of the system is asymptotically stable and also establish continuous dependence of one class of numeric characteristics of asymptotic stability of solutions on the coefficients of the system.
Açıklama
Anahtar Kelimeler
Difference equations, Lyapunov equation, Perturbation, Stability
Kaynak
Siberian Mathematical Journal
WoS Q DeÄŸeri
Scopus Q DeÄŸeri
Q2
Cilt
43
Sayı
3
