Existence results and stabilization of homogeneous conformable fractional order systems

• Autorzy: Nasra Nejib , Ganmi Boulbaba , Mabrouki Fehmi

Identyfikatory

DOI

10.24425/acs.2024.149675

• Języki publikacji: EN

Abstrakty

EN

In this paper, we give results on the stability of homogeneous conformable fractional order systems using assumptions on a family of compact sets and provide the stabilization of an affine control system and given an explicit homogeneous feedback control with the requirement that a control Lyapunov function exists and satisfying a homogeneous condition and we present existence and uniqueness theorems for sequential linear conformable fractional differential equations.

Słowa kluczowe

EN

conformable fractional order systems; homogeneous fractional systems; stabilization; fractional problems solutions; Lyapunov function; sequential linear fractional differential equations

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2024
• Tom: Vol. 34, No. 3
• Strony: 641--661
• Opis fizyczny: Bibliogr. 26 poz., rys., wzory

Twórcy

autor

Nasra Nejib

• Sfax University, Faculty of Sciences of Sfax, Department of Mathematics, road Soukra, 3038 Sfax, Tunisia

autor

Ganmi Boulbaba

• Sfax University, Faculty of Sciences of Sfax, Department of Mathematics, road Soukra, 3038 Sfax, Tunisia

autor

Mabrouki Fehmi

• Sfax University, Faculty of Sciences of Sfax, Department of Mathematics, road Soukra, 3038 Sfax, Tunisia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025)