Abstract

This paper introduces a simple method of the design of the output feedback stabilizing controller (OFSC) for the nonlinear upper triangular fractional-order systems (NUTFOS). The OFSC which makes the closed-loop system asymptotically stable is given based on the fractional indirect Lyapunov method and the static gain control method. Furthermore, an algorithm is established to design OFSC for the NUTFOS. Finally, an example is presented to verify the validity of the proposed method.

Details

Title
Asymptotical stabilization of the nonlinear upper triangular fractional-order systems
Author
Zhao, Yige 1   VIAFID ORCID Logo  ; Sun, Yibing 1 ; Wang, Yilin 2 ; Bai, Zhanbing 3 

1  School of Mathematical Sciences, University of Jinan, Jinan, P.R. China 
2  Business School, University of Jinan, Jinan, P.R. China 
3  College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, P.R. China 
Pages
1-11
Publication year
2019
Publication date
Apr 2019
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-019-2098-0
ProQuest document ID
2214855463
Copyright
Advances in Difference Equations is a copyright of Springer, (2019). All Rights Reserved., © 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.