Comment on 'Exponential ultimate boundedness of fractional-order differential system via periodically intermittent control' [Nonlinear Dyn 2019;92(2), 247–265]
| Autor: | Jian-Bing Hu |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Laplace transform
Applied Mathematics Mechanical Engineering Intermittent control Aerospace Engineering Ocean Engineering 01 natural sciences Exponential function Fractional calculus Stability conditions Nonlinear system Control and Systems Engineering 0103 physical sciences Applied mathematics Time domain Electrical and Electronic Engineering 010301 acoustics Counterexample Mathematics |
| Zdroj: | Nonlinear Dynamics. 101:1015-1021 |
| ISSN: | 1573-269X 0924-090X |
| DOI: | 10.1007/s11071-020-05810-4 |
| Popis: | In this note, some points to paper (Xu L.G., Liu W.,” Hu ”H.X.:“Exponential ultimate boundedness of fractional-order differential system via periodically intermittent control” [Nonlinear Dyn 2019;92(2), 247–265) are presented. Fractional calculus is of memory property which is different from integral calculus. But this important property is neglected in the proof processes of the main theoretical achievements. We analyze these errors in Laplace domain and time domain. Lastly, some counterexamples are presented against the intermittent stability conditions in Xu et al. (Nonlinear Dyn 92(2):247–265, 2019. https://doi.org/10.1007/s11071-019-04877-y ). |
| Databáze: | OpenAIRE |
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