Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input
Please always quote using this 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.…
| Author: | R. Almeida, S. Hristova, S. DashkovskiyORCiD |
|---|---|
| URN: | urn:nbn:de:bvb:20-opus-218554 |
| Document Type: | Journal article |
| Faculties: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
| Language: | English |
| Parent Title (English): | International Journal of Robust and Nonlinear Control |
| Year of Completion: | 2021 |
| Volume: | 31 |
| Issue: | 1 |
| First Page: | 225 |
| Last Page: | 249 |
| Source: | 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 |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Tag: | Caputo fractional derivative; Lyapunov functions; Razumikhin method; bounded input bounded output stability; time‐varying delay |
| Release Date: | 2021/10/13 |
| Licence (German): |  CC BY-NC-ND: Creative-Commons-Lizenz: Namensnennung, Nicht kommerziell, Keine Bearbeitungen 4.0 International |