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Dergiler / 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
Sayfa
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Yayın Tarihi
2020-10-27
DOI
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Also, we have determined stability regions and supported the obtained results by a numerical example.

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Amaç & Hipotez: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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Temel Bulgular & Veri:Our approach to the theorems is based on Floquet theory.
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Sonuç & Katkı:Also, we have determined stability regions and supported the obtained results by a numerical example.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (18)

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