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Journals / Konuralp Journal of Mathematics / 2020 / Volume: 8 Issue: 2

Sensitivity of Hurwitz Stability of Linear Differential Equation Systems with Periodic Coefficients

Ayşegül Keten(NECMETTİN ERBAKAN ÜNİVERSİTESİ, FEN FAKÜLTESİ)
Ahmet Duman(NECMETTİN ERBAKAN ÜNİVERSİTESİ)
Kemal Aydın(SELÇUK ÜNİVERSİTESİ)0000-0002-5843-3058
Pages
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Publication Date
2020-10-27
DOI
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AI Summary & Key Takeaways

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

Also, we have determined stability regions and supported the obtained results by a numerical example.

📌 3 Key Takeaways

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Objective & Hypothesis:By using Hurwitz stability of a linear differential equation system (in short, LDES) with constant coefficients, and using Schur stability of a linear difference equation system (in short, LDIES) with constant coefficients, we have obtained two new continuity theorems for sensitivity of Hurwitz stability of a LDES with periodic coefficients.
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Key Findings & Data:Our approach to the theorems is based on Floquet theory.
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Conclusion & Impact:Also, we have determined stability regions and supported the obtained results by a numerical example.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:differential equations · Floquet theory · Hurwitz stability

Abstract

By using Hurwitz stability of a linear differential equation system (in short, LDES) with constant coefficients, and using Schur stability of a linear difference equation system (in short, LDIES) with constant coefficients, we have obtained two new continuity theorems for sensitivity of Hurwitz stability of a LDES with periodic coefficients. Our approach to the theorems is based on Floquet theory. Also, we have determined stability regions and supported the obtained results by a numerical example.

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Cite This Article

Keten, A., Duman, A., Aydın, K. (2020). Sensitivity of Hurwitz Stability of Linear Differential Equation Systems with Periodic Coefficients. Konuralp Journal of Mathematics, Volume: 8 Issue: 2. https://ajindex.com/articles/1521660

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