Mittag-Leffler stability analysis of a class of homogeneous fractional systems

• Autorzy: Fajraoui Tarek , Ghanmi Boulbaba , Mabrouk Fehmi , Omri Faouzi

Identyfikatory

DOI

10.24425/acs.2021.137424

• Języki publikacji: EN

Abstrakty

EN

In this paper,we start by the research of the existence of Lyapunov homogeneous function for a class of homogeneous fractional Systems, then we shall prove that local and global behaviors are the same. The uniform Mittag-Leffler stability of homogeneous fractional time-varying systems is studied. A numerical example is given to illustrate the efficiency of the obtained results.

Słowa kluczowe

EN

homogeneous fractional systems; Lyapunov homogeneous function; Mittag-Leffler stability

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 2
• Strony: 401--415
• Opis fizyczny: Bibliogr. 16 poz., rys., wzory

Twórcy

autor

Fajraoui Tarek

• University of Gafsa, Tunisia, Faculty of Sciences of Gafsa, Department of Mathematics, University campus Sidi Ahmed Zarroug 2112 Gafsa, Tunisia

autor

Ghanmi Boulbaba

• University of Gafsa, Tunisia, Faculty of Sciences of Gafsa, Department of Mathematics, University campus Sidi Ahmed Zarroug 2112 Gafsa, Tunisia

autor

Mabrouk Fehmi

• University of Gafsa, Tunisia, Faculty of Sciences of Gafsa, Department of Mathematics, University campus Sidi Ahmed Zarroug 2112 Gafsa, Tunisia

autor

Omri Faouzi

• University of Gafsa, Tunisia, Faculty of Sciences of Gafsa, Department of Mathematics, University campus Sidi Ahmed Zarroug 2112 Gafsa, Tunisia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).