We supported the results with numerical examples and compared them with the results in the literature.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, we have given the continuity theorems that determine under which perturbations k - th order Schur stable difference equation systems with periodic coefficients $ X (n + k ) = A (n) X (n)$ remain Schur stable and the new results on Schur stability of the system.
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Key Findings & Data:In this study, we have given the continuity theorems that determine under which perturbations k - th order Schur stable difference equation systems with periodic coefficients $ X (n + k ) = A (n) X (n)$ remain Schur stable and the new results on Schur stability of the system.
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Conclusion & Impact:We supported the results with numerical examples and compared them with the results in the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this study, we have given the continuity theorems that determine under which perturbations k - th order Schur stable difference equation systems with periodic coefficients $ X (n + k ) = A (n) X (n)$ remain Schur stable and the new results on Schur stability of the system. We supported the results with numerical examples and compared them with the results in the literature.
Özet
Bu çalışmada, Schur kararlı k. mertebeden $ X (n + k ) = A (n) X (n)$ periyodik katsayılı fark denklem sisteminin hangi bozunumlar altında Schur kararlı kaldığını belirleyen süreklilik teoremleri ve sisteminSchur kararlılığı üzerine yeni sonuçlar verildi. Elde edilen sonuçlar nümerik örnekler ile desteklendi ve literatürdeki sonuçlar ile karşılaştırıldı.
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Cite This Article
KIZILKAN, G. Ç., DUMAN, A. (2022). Sensitivity of Schur Stability of k−th Order Linear Difference Equation System with Periodic Coefficients $ X (n + k ) = A (n) X (n)$. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 - Sayı: 3, 995–1003. https://ajindex.com/articles/505469
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