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Journals / Fırat Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2007 / Cilt: 19 - Sayı: 1

Anti-Schur stability of a family of matrices

Matrisler ailesinin anti-Schur kararlılığı

Handan AKYAR
Vakıf DZHAFAROV
Pages
19–22
Publication Date
2022-10-17
DOI
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AI Summary & Key Takeaways

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

An extreme point theorem which guarantees the anti-Schur stability of the convex hull of a finite set of anti-Schur stable complex matrices is obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, necessary and sufficient conditions for the anti-Schur stability of a compact, convex family of complex matrices are given.
📊
Key Findings & Data:In this paper, necessary and sufficient conditions for the anti-Schur stability of a compact, convex family of complex matrices are given.
💡
Conclusion & Impact:An extreme point theorem which guarantees the anti-Schur stability of the convex hull of a finite set of anti-Schur stable complex matrices is obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, necessary and sufficient conditions for the anti-Schur stability of a compact, convex family of complex matrices are given. An extreme point theorem which guarantees the anti-Schur stability of the convex hull of a finite set of anti-Schur stable complex matrices is obtained.

Özet

Bu çalışmada, kompakt, konveks kompleks matrisler ailesinin anti-Schur kararlılığı için gerek ve yeter şartlar verilmiştir. Sonlu tane anti-Schur kararlı kompleks matrisin konveks zarfının oluşturduğu kümenin anti-Schur kararlı olması için uç nokta teoremi elde edilmiştir.

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Cite This Article

AKYAR, H., DZHAFAROV, V. (2022). Anti-Schur stability of a family of matrices. Fırat Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 19 - Sayı: 1, 19–22. https://ajindex.com/articles/513496

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References (7)

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