The controllability of nonlinear fractional differential system with pure delay
| Autor: | Jiale Sheng, Musarrat Nawaz, Wei Jiang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Controllability
Delayed Mittag-Leffler type matrix 0209 industrial biotechnology Algebra and Number Theory Partial differential equation Caputo fractional derivative Applied Mathematics lcsh:Mathematics Fixed-point theorem 02 engineering and technology Delay differential equation Function (mathematics) lcsh:QA1-939 01 natural sciences 010305 fluids & plasmas State delay Nonlinear system 020901 industrial engineering & automation Ordinary differential equation Control system 0103 physical sciences Applied mathematics Analysis Mathematics |
| Zdroj: | Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-12 (2020) |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/s13662-020-02599-9 |
| Popis: | In this study, we are currently investigating the controllability of nonlinear fractional differential control systems with delays in the state function. The solution representations of fractional delay differential equations have been established by using the delayed Mittag-Leffler function. Firstly we obtain the result of the controllability of a linear fractional control system with delay. Then, for the controllability criteria of nonlinear fractional delay system, we establish the set of sufficient conditions of nonlinear fractional differential systems with delay in their state function by using Schauder’s fixed point theorem. In the end, a numerical example is constructed to support the results. |
| Databáze: | OpenAIRE |
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