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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 73 Issue: 2

A new approach to construct and extend the Schur stable matrix families

Güner Topcu(SELCUK UNIVERSITY)0000-0002-0791-3086
Kemal Aydın(SELCUK UNIVERSITY)0000-0002-5843-3058
Pages
—
Publication Date
2024-06-21
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

All definitions are supported by examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, Schur stability, sensitivity and continuity theorems have been mentioned.
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Key Findings & Data:In addition, matrix families, interval matrix and extend of the intervals also have been mentioned.
💡
Conclusion & Impact:All definitions are supported by examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Schur stabilty · sensitivity · interval matrix

Abstract

In this study, Schur stability, sensitivity and continuity theorems have been mentioned. In addition, matrix families, interval matrix and extend of the intervals also have been mentioned. The $\mathcal{I}_{\mathcal{L}}$ and $\mathcal{I}_{\mathcal{C}}$ iintervals of the matrix families have been determined so that the linear sums family $\mathcal{L}$ and convex combination family $\mathcal{C}$ are Schur stable. Samely, the $\mathcal{I}^{*}_{\mathcal{L}}$ and $\mathcal{I}_{\mathcal{C}}^{\ast }$ intervals have been determined and $\mathcal{L}$ and $\mathcal{C}$ are $\omega ^{\ast }-$Schur stable. Afterwards, the methods which based on continuity theorems and the algorithms which based on the methods have been given. Extended intervals have been obtained with the help of the methods and the algorithms. All definitions are supported by examples.

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Cite This Article

Topcu, G., Aydın, K. (2024). A new approach to construct and extend the Schur stable matrix families. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 2. https://doi.org/10.31801/cfsuasmas.1375359

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