SCIENCE CHINA Information Sciences, Volume 62, Issue 9: 199201(2019) https://doi.org/10.1007/s11432-018-9642-x

## Necessary and sufficient conditions for the dynamic output feedback stabilization of fractional-order systems with order $0<\alpha<1$

• AcceptedOct 19, 2018
• PublishedApr 2, 2019
Share
Rating

### Acknowledgment

This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61673227, 61873137, 61573204, 61803220) and in part by Natural Science Foundation of Shandong Province, China (Grant No. ZR2016FM06). Qingguo WANG acknowledges the financial support of National Natural Science Foundation of South Africa (Grant No. 113340), and Oppenheimer Memorial Trust Grant, which partially funded his research on this work.

### References

[1] Jun-Guo Lu , Yang-Quan Chen . Robust Stability and Stabilization of Fractional-Order Interval Systems with the Fractional Order $\alpha$: The $0?\alpha?1$ Case. IEEE Trans Automat Contr, 2010, 55: 152-158 CrossRef Google Scholar

[2] Liang S, Peng C, Wang Y. Improved linear matrix inequalities stability criteria for fractional order systems and robust stabilization synthesis: the $0~<\alpha<1~$ case. Control Theory Applications, 2013, 29: 531--535 DOI:10.7641/CTA.2013.20674. Google Scholar

[3] Zhang X, Chen Y Q. Admissibility and robust stabilization of continuous linear singular fractional order systems with the fractional order $\alpha$: the $0~<\alpha<1~$ case. ISA Trans, 2018, 82: 42-50 CrossRef PubMed Google Scholar

[4] Wei Y H, Chen Y Q, Cheng S S, et al. Completeness on the stability criterion of fractional order LTI systems. Fractional Calculus and Applied Analysis, 2017, 20: 159-172. Google Scholar

[5] Lin C, Chen B, Wang Q G. Static output feedback stabilization for fractional-order systems in T-S fuzzy models. Neurocomputing, 2016, 218: 354-358 CrossRef Google Scholar

[6] Song X N, Wang Z. Dynamic Output Feedback Control for Fractional-Order Systems. Asian J Control, 2013, 15: 834-848 CrossRef Google Scholar

[7] Ji Y D, Qiu J Q. Stabilization of fractional-order singular uncertain systems.. ISA Trans, 2015, 56: 53-64 CrossRef PubMed Google Scholar

[8] Lin C, Chen B, Shi P, et al. Necessary and sufficient conditions of observer-based stabilization for a class of fractional-order descriptor systems. Systems $\&$ Control Letters, 2018, 112: 31-35. Google Scholar

[9] Podlubny I. Fractional Differential Equations. New York: Academic Press, 1999. Google Scholar

Citations

• #### 0

Altmetric

Copyright 2020 Science China Press Co., Ltd. 《中国科学》杂志社有限责任公司 版权所有