Szczegóły publikacji
Opis bibliograficzny
Exponential stability for a class of fractional order dynamic systems / Krzysztof OPRZĘDKIEWICZ, Wojciech MITKOWSKI // W: Advances in non-integer order calculus and its applications : proceedings of the 10th international conference on Non-integer order calculus and its applications / eds. Agnieszka B. Malinowska, Dorota Mozyrska, Łukasz Sajewski. — Cham : Springer Nature Switzerland, cop. 2020. — (Lecture Notes in Electrical Engineering ; ISSN 1876-1100 ; vol. 559). — ISBN: 978-3-030-17343-2; e-ISBN: 978-3-030-17344-9. — S. 174–188. — Bibliogr. s. 188, Abstr. — Publikacja dostępna online od: 2019-04-17
Autorzy (2)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 122043 |
|---|---|
| Data dodania do BaDAP | 2019-07-24 |
| DOI | 10.1007/978-3-030-17344-9_13 |
| Rok publikacji | 2020 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp |  |
| Wydawca | Springer |
| Konferencja | 10th international conference on Non-integer order calculus and its applications |
| Czasopismo/seria | Lecture Notes in Electrical Engineering |
Abstract
The paper presents a comparinson of exponential, Mittag-Leffler and generalized Mittag-Leffler stability problems for a class of fractional order dynamical systems. The considered system is described by state equation with diagonal state matrix, the spectrum of the system contains single, separated, real, decreasing eigenvalues. An example of such a system is a heat object described by a fractional order state equation. The fractional order derivative is described by Caputo and Caputo-Fabrizio operators. For the considered system the simple conditions of approximated equivalence of the all discussed stabilities are proposed. Results are illustrated by the numerical example.
