On Grünwlad-Letinkov fractional operator with measurable order on continuous-discrete time scale

• Autorzy: Pawłuszewicz Ewa , Koszewnik Andrzej , Burzyński Piotr

Identyfikatory

DOI

10.2478/ama-2020-0023

• Języki publikacji: EN

Abstrakty

EN

Considering experimental implementation control laws on digital tools that measurement cards are discharged every time unit one can see that time of simulations is partially continuous and partially discrete. This observation provides the motivation for defining the Grünvald-Letnikov fractional operator with measurable order defined on continuous-discrete time scale. Some properties of this operator are discussed. The simulation analysis of the proposed approach to the Grünwald-Letnikov operator with the measurement functional order is presented.

Słowa kluczowe

EN

Grünvald-Letnikov fractional operator; measurement order; time scale

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2020
• Tom: Vol. 14, no. 3
• Strony: 161--165
• Opis fizyczny: Bibliogr. 30 poz., rys., wykr.

Twórcy

autor

Pawłuszewicz Ewa

• Faculty of Mechanical Engineering, Department of Mechatronics Systems and Robotics, Bialystok University of Technology, Wiejska 45c, 15-351 Białystok, Poland

autor

Koszewnik Andrzej

• Faculty of Mechanical Engineering, Department of Mechatronics Systems and Robotics, Bialystok University of Technology, Wiejska 45c, 15-351 Białystok, Poland

autor

Burzyński Piotr

• Faculty of Mechanical Engineering, Department of Mechatronics Systems and Robotics, Bialystok University of Technology, Wiejska 45c, 15-351 Białystok, Poland

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Uwagi

1. The work is supported with University Works No WZ/WM-IIM/1/2019 (A. Koszewnik and E. Pawluszewicz) and WI/WM-IIM/7/2020 (P. Burzyński) Faculty of Mechanical Engineering, Bialystok University of Technology.

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