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Journals / Sakarya University Journal of Science / 2020 / Cilt: 24 Sayı: 2

Hurwitz Stability of Matrix Segment and The Common Solution Set of 2 and 3-Dimensional Lyapunov Equations

Şerife YILMAZ
Pages
357–364
Publication Date
2020-04-01
DOI
—
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AI Summary & Key Takeaways

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

A number of illustrative examples using this algorithm are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, a necessary and sufficient condition is given for the stability of the convex combinations of n-dimensional two Hurwitz stable matrices.
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Key Findings & Data:There is a close relationship between Hurwitz stability of the matrix segment and common solution to the Lyapunov equations corresponding to those matrices.
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Conclusion & Impact:A number of illustrative examples using this algorithm are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hurwitz stability · matrix segment · common quadratic Lyapunov function

Abstract

In this study, a necessary and sufficient condition is given for the stability of the convex combinations of n-dimensional two Hurwitz stable matrices. There is a close relationship between Hurwitz stability of the matrix segment and common solution to the Lyapunov equations corresponding to those matrices. Therefore, the results obtained in this area are important. In the case of existence, an algorithm that determines common solutions set is also given. A number of illustrative examples using this algorithm are given.

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Cite This Article

YILMAZ, Ş. (2020). Hurwitz Stability of Matrix Segment and The Common Solution Set of 2 and 3-Dimensional Lyapunov Equations. Sakarya University Journal of Science, Cilt: 24 Sayı: 2, 357–364. https://ajindex.com/articles/941928

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