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Journals / Conference Proceedings of Science and Technology / 2020 / Cilt: 3 Sayı: 1

Stability Analysis of a Linear Neutral Differential Equation

Berrak ÖZGÜR
Pages
29–32
Publication Date
2020-12-15
DOI
—
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AI Summary & Key Takeaways

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

The given last theorem emphasizes the conditions obtained for getting positive real roots and also the importance of the system parameters for this situation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main aim of this study is to give the stability analysis of linear neutral differential equations.
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Key Findings & Data:As a special case, the third order linear neutral differential equation is considered and its characteristic equation is examined for the stability properties.
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Conclusion & Impact:The given last theorem emphasizes the conditions obtained for getting positive real roots and also the importance of the system parameters for this situation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Linear neutral differential equation · Stability analysis · Sturm sequence

Abstract

The main aim of this study is to give the stability analysis of linear neutral differential equations. As a special case, the third order linear neutral differential equation is considered and its characteristic equation is examined for the stability properties. The method used here is to analyze the roots of the third order characteristic equation by using the Sturm sequence. The given last theorem emphasizes the conditions obtained for getting positive real roots and also the importance of the system parameters for this situation.

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Cite This Article

ÖZGÜR, B. (2020). Stability Analysis of a Linear Neutral Differential Equation. Conference Proceedings of Science and Technology, Cilt: 3 Sayı: 1, 29–32. https://ajindex.com/articles/984332

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References (2)

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