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Journals / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2002 / Cilt: 3 - Sayı: 3

On the robust and quadratic stability of matrices family

Matrisler ailesinin gürbüz ve kuadratik kararlılığı üzerine

Vakıf DZHAFAROV
Özlem A. ESEN
Pages
363–367
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

Necessary and sufficient conditions for robust stability and quadratic stability of convex combinations are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study the relationship between stability of convex combinations of stable matrices and its characteristic polynomialis is investigated.
📊
Key Findings & Data:In this study the relationship between stability of convex combinations of stable matrices and its characteristic polynomialis is investigated.
💡
Conclusion & Impact:Necessary and sufficient conditions for robust stability and quadratic stability of convex combinations are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study the relationship between stability of convex combinations of stable matrices and its characteristic polynomialis is investigated. Necessary and sufficient conditions for robust stability and quadratic stability of convex combinations are given.

Özet

Bu çalışmada kararlı matrislerin ve onların karakteristik polinomlarının konveks kombinasyonlarının kararlılığı arasındaki bağlantılar incelenmiştir. Konveks kombinasyonlar ailesinin gürbüz ve kuadratik kararlılığı için gerekli ve yeterli koşullar verilmiştir.

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Cite This Article

DZHAFAROV, V., ESEN, Ö. A. (2022). On the robust and quadratic stability of matrices family. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 3 - Sayı: 3, 363–367. https://ajindex.com/articles/438471

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References (5)

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  2. Bialas, S. ve Garloff, J., (1985). Convex Conbinations of stable polynomials. Journal of Franklin Institute 319, 373-377.
  3. Chen, C. T., (1984)
  4. Linear System Theory and Design, Holt, Rinehart and Winston, New York. Chen, W.H. (1999). On Relationship Between Quadratic and Robust Stability of Uncertain Systems. International Journal of Robust and Nonlear Control 9, 51-58.
  5. Fu, M., Barmish, B.R. (1988). Maximal Unidirectional Perturbation Boudns for Stability of Polynomials and Matrices. Systems and Control Letters 11, 173-179.