Sensitivity of Schur Stability of the $k-th$ Order Difference Equation System $y(n+k)=Cy(n)$

Ahmet Duman [1] , Gülnur Çelik Kızılkan [2] , Kemal Aydın [3]

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In this study, it is investigated that the Schur stable difference equation systems $y(n+k)=Cy(n)$ under which perturbations remains Schur stable. Some continuity theorems of the first order systems in the literature are re-expressed for the $k-th$ order system $y(n+k)=Cy(n)$. All the results obtained are also supplemented by numerical examples.

Schur stability, difference equations, sensitivity, perturbation systems, condition number
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Yazar: Ahmet Duman (Sorumlu Yazar)
E-posta: aduman@konya.edu.tr
Ülke: Turkey


Yazar: Gülnur Çelik Kızılkan
E-posta: gulnurcelik42@gmail.com
Kurum: Necmettin Erbakan Üniversitesi
Ülke: Turkey


Yazar: Kemal Aydın
E-posta: kaydin29@gmail.com
Ülke: Turkey


Bibtex @araştırma makalesi { konuralpjournalmath412288, journal = {Konuralp Journal of Mathematics}, issn = {}, address = {Mehmet Zeki SARIKAYA}, year = {}, volume = {6}, pages = {98 - 101}, doi = {}, title = {Sensitivity of Schur Stability of the \$k-th\$ Order Difference Equation System \$y(n+k)=Cy(n)\$}, key = {cite}, author = {Aydın, Kemal and Çelik Kızılkan, Gülnur and Duman, Ahmet} }
APA Duman, A , Çelik Kızılkan, G , Aydın, K . (). Sensitivity of Schur Stability of the $k-th$ Order Difference Equation System $y(n+k)=Cy(n)$. Konuralp Journal of Mathematics, 6 (1), 98-101. Retrieved from http://dergipark.gov.tr/konuralpjournalmath/issue/31478/412288
MLA Duman, A , Çelik Kızılkan, G , Aydın, K . "Sensitivity of Schur Stability of the $k-th$ Order Difference Equation System $y(n+k)=Cy(n)$". Konuralp Journal of Mathematics 6 (): 98-101 <http://dergipark.gov.tr/konuralpjournalmath/issue/31478/412288>
Chicago Duman, A , Çelik Kızılkan, G , Aydın, K . "Sensitivity of Schur Stability of the $k-th$ Order Difference Equation System $y(n+k)=Cy(n)$". Konuralp Journal of Mathematics 6 (): 98-101
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EndNote %0 Konuralp Journal of Mathematics Sensitivity of Schur Stability of the $k-th$ Order Difference Equation System $y(n+k)=Cy(n)$ %A Ahmet Duman , Gülnur Çelik Kızılkan , Kemal Aydın %T Sensitivity of Schur Stability of the $k-th$ Order Difference Equation System $y(n+k)=Cy(n)$ %D 2018 %J Konuralp Journal of Mathematics %P -2147-625X %V 6 %N 1 %R %U