THE STABILITY ANALYSIS OF AUTONOMOUS INCOMMENSURATE FRACTIONAL-ORDER SYSTEM AND ITS SOME CONCLUSIONS

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Daşbaşı B.

RESEARCH & REVIEWS IN SCIENCE AND MATHEMATICS September / 2021, • Prof. Dr. Hasan Akgül,Prof. Dr. Murat Kütük, Editör, Gece Kitaplığı / Gece Publishing, Ankara, ss.109-122, 2021

  • Yayın Türü: Kitapta Bölüm / Araştırma Kitabı
  • Basım Tarihi: 2021
  • Yayınevi: Gece Kitaplığı / Gece Publishing
  • Basıldığı Şehir: Ankara
  • Sayfa Sayıları: ss.109-122
  • Editörler: • Prof. Dr. Hasan Akgül,Prof. Dr. Murat Kütük, Editör
  • Kayseri Üniversitesi Adresli: Evet

Özet

In this study, some definitions and theorems related to the local asymptotic stability (LAS) of the equilibrium point of an -dimensional autonomous incommensurate fractional-order system (IFOS) with Caputo derivatives are given. In this direction, some very useful criteria and results are shown, especially regarding the analysis of the roots of the characteristic polynomial.

In this study, some definitions and theorems related to the local asymptotic stability (LAS) of the equilibrium point of an -dimensional autonomous incommensurate fractional-order system (IFOS) with Caputo derivatives are given. In this direction, some very useful criteria and results are shown, especially regarding the analysis of the roots of the characteristic polynomial.