Finite-Time Stability of Atangana–Baleanu Fractional-Order Linear Systems
| Autor: | Wei Jiang, Jiale Sheng, Denghao Pang |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Multidisciplinary
General Computer Science Linear system Frame (networking) Order (ring theory) QA75.5-76.95 02 engineering and technology 01 natural sciences Stability (probability) 010305 fluids & plasmas Fractional calculus Electronic computers. Computer science 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Finite time Mathematics |
| Zdroj: | Complexity, Vol 2020 (2020) |
| ISSN: | 1099-0526 1076-2787 |
| DOI: | 10.1155/2020/1727358 |
| Popis: | This paper investigates a fractional-order linear system in the frame of Atangana–Baleanu fractional derivative. First, we prove that some properties for the Caputo fractional derivative also hold in the sense of AB fractional derivative. Subsequently, several sufficient criteria to guarantee the finite-time stability and the finite-time boundedness for the system are derived. Finally, an example is presented to illustrate the validity of our main results. |
| Databáze: | OpenAIRE |
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