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

Authors : Ahmet DUMAN, Gülnur ÇELİK KIZILKAN, Kemal AYDIN

Pages : 98-101

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Publication Date : 2018-04-15

Article Type : Research Paper

Abstract :In this study, it is investigated that the Schur stable difference equation systems $yinsert ignore into journalissuearticles values(n+k);=Cyinsert ignore into journalissuearticles values(n);$ 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 $yinsert ignore into journalissuearticles values(n+k);=Cyinsert ignore into journalissuearticles values(n);$. All the results obtained are also supplemented by numerical examples.
Keywords : Schur stability, difference equations, sensitivity, perturbation systems, condition number