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

Autor: Imed Basdouri, Souad Kasmi, Jean Lerbet
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Archives of Control Sciences, Vol vol. 33, Iss No 1, Pp 55-70 (2023)
Druh dokumentu: article
ISSN: 1230-2384
DOI: 10.24425/acs.2023.145113
Popis: 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.
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