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

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

  • Publication Type: Book Chapter / Chapter Research Book
  • Publication Date: 2021
  • Publisher: Gece Kitaplığı / Gece Publishing
  • City: Ankara
  • Page Numbers: pp.109-122
  • Editors: • Prof. Dr. Hasan Akgül,Prof. Dr. Murat Kütük, Editor
  • Kayseri University Affiliated: Yes

Abstract

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.