Practical Mittag-Leffler stability of quasi-one-sided Lipschitz fractional order systems

• Autorzy: Basdouri Imed , Kasmi Souad , Lerbet Jean

Identyfikatory

DOI

10.24425/acs.2023.145113

• Języki publikacji: EN

Abstrakty

EN

This paper focuses on the global practical Mittag-Leffler feedback stabilization problem for a class of uncertain fractional-order systems. This class of systems is a larger class of nonlinearities than the Lipschitz ones. Based on the quasi-one-sided Lipschitz condition, firstly, we provide sufficient conditions for the practical observer design. Then, we exhibit that practical Mittag-Leffler stability of the closed loop system with a linear, state feedback is attained. Finally, a separation principle is established and we prove that the closed loop system is practical Mittag-Leffler stable.

Słowa kluczowe

EN

fractional-order systems; Caputo derivative; quasi-one-sided Lipschitz condition; nonlinear systems; observer design; output feedback stabilization; separation principle

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2023
• Tom: Vol. 33, No. 1
• Strony: 55--70
• Opis fizyczny: Bibliogr. 29 poz., rys., wzory

Twórcy

autor

Basdouri Imed

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

autor

Kasmi Souad

• Sfax University, Faculty of Sciences of Sfax, Department of Mathematics, BP 1171 Sfax 3000 Tunisia

autor

Lerbet Jean

• Laboratoire de Mathématiques et de Modélisation d’Evry, Univ d’Evry, Université Paris Saclay, France

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)