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Science China Information Sciences

, 62:199201 | Cite as

Necessary and sufficient conditions for the dynamic output feedback stabilization of fractional-order systems with order 0 < α < 1

  • Ying Guo
  • Chong LinEmail author
  • Bing Chen
  • Qingguo Wang
Letter
  • 13 Downloads

Notes

Acknowledgements

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. 1.
    Lu J G, Chen Y Q. Robust stability and stabilization of fractional-order interval systems with the fractional order α: the 0 < α < 1 case. IEEE Trans Automat Contr, 2010, 55: 152–158MathSciNetCrossRefGoogle Scholar
  2. 2.
    Liang S, Peng C, Wang Y. Improved linear matrix inequalities stability criteria for fractional order systems and robust stabilization synthesis: the 0 < α < 1 case. Control Theory Appl, 2013, 29: 531–535Google Scholar
  3. 3.
    Zhang X F, Chen Y Q. Admissibility and robust stabilization of continuous linear singular fractional order systems with the fractional order α: the 0 < α < 1 case. ISA Trans, 2018, 82: 42–50CrossRefGoogle Scholar
  4. 4.
    Wei Y H, Chen Y Q, Cheng S S, et al. Completeness on the stability criterion of fractional order LTI systems. Fract Calc Appl Anal, 2017, 20: 159–172MathSciNetzbMATHGoogle Scholar
  5. 5.
    Lin C, Chen B, Wang Q G. Static output feedback stabilization for fractional-order systems in T-S fuzzy models. Neurocomputing, 2016, 218: 354–358CrossRefGoogle Scholar
  6. 6.
    Song X N, Wang Z. Dynamic output feedback control for fractional-order systems. Asian J Control, 2013, 15: 834–848MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    Ji Y D, Qiu J Q. Stabilization of fractional-order singular uncertain systems. ISA Trans, 2015, 56: 53–64CrossRefGoogle Scholar
  8. 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. Syst Control Lett, 2018, 112: 31–35MathSciNetCrossRefzbMATHGoogle Scholar
  9. 9.
    Podlubny I. Fractional Differential Equations. New York: Academic Press, 1999zbMATHGoogle Scholar

Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Complexity ScienceQingdao UniversityQingdaoChina
  2. 2.School of Mathematics and StatisticsZaozhuang UniversityZaozhuangChina
  3. 3.Institute for Intelligent Systems, Faculty of Engineering and the Built EnvironmentUniversity of JohannesburgJohannesburgSouth Africa

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