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Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input
Zitieren Sie bitte immer diese URN: urn:nbn:de:bvb:20-opus-218554
- The bounded input bounded output (BIBO) stability for a nonlinear Caputo fractional system with time‐varying bounded delay and nonlinear output is studied. Utilizing the Razumikhin method, Lyapunov functions and appropriate fractional derivatives of Lyapunov functions some new bounded input bounded output stability criteria are derived. Also, explicit and independent on the initial time bounds of the output are provided. Uniform BIBO stability and uniform BIBO stability with input threshold are studied. A numerical simulation is carried out toThe bounded input bounded output (BIBO) stability for a nonlinear Caputo fractional system with time‐varying bounded delay and nonlinear output is studied. Utilizing the Razumikhin method, Lyapunov functions and appropriate fractional derivatives of Lyapunov functions some new bounded input bounded output stability criteria are derived. Also, explicit and independent on the initial time bounds of the output are provided. Uniform BIBO stability and uniform BIBO stability with input threshold are studied. A numerical simulation is carried out to show the system's dynamic response, and demonstrate the effectiveness of our theoretical results.…
Autor(en): | R. Almeida, S. Hristova, S. DashkovskiyORCiD |
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URN: | urn:nbn:de:bvb:20-opus-218554 |
Dokumentart: | Artikel / Aufsatz in einer Zeitschrift |
Institute der Universität: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
Sprache der Veröffentlichung: | Englisch |
Titel des übergeordneten Werkes / der Zeitschrift (Englisch): | International Journal of Robust and Nonlinear Control |
Erscheinungsjahr: | 2021 |
Band / Jahrgang: | 31 |
Heft / Ausgabe: | 1 |
Erste Seite: | 225 |
Letzte Seite: | 249 |
Originalveröffentlichung / Quelle: | International Journal of Robust and Nonlinear Control 2021, 31(1):225–249. DOI: 10.1002/rnc.5273 |
DOI: | https://doi.org/10.1002/rnc.5273 |
Allgemeine fachliche Zuordnung (DDC-Klassifikation): | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Freie Schlagwort(e): | Caputo fractional derivative; Lyapunov functions; Razumikhin method; bounded input bounded output stability; time‐varying delay |
Datum der Freischaltung: | 13.10.2021 |
Lizenz (Deutsch): | ![]() |