Skip to main content
Log in

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

  • Letter
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  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: 152–158

    Article  MathSciNet  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 < α < 1 case. Control Theory Appl, 2013, 29: 531–535

    Google Scholar 

  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: 42–50

    Article  Google Scholar 

  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: 159–172

    Article  MathSciNet  MATH  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

    Article  Google Scholar 

  6. Song X N, Wang Z. Dynamic output feedback control for fractional-order systems. Asian J Control, 2013, 15: 834–848

    Article  MathSciNet  MATH  Google Scholar 

  7. Ji Y D, Qiu J Q. Stabilization of fractional-order singular uncertain systems. ISA Trans, 2015, 56: 53–64

    Article  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. Syst Control Lett, 2018, 112: 31–35

    Article  MathSciNet  MATH  Google Scholar 

  9. Podlubny I. Fractional Differential Equations. New York: Academic Press, 1999

    MATH  Google Scholar 

Download references

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chong Lin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Guo, Y., Lin, C., Chen, B. et al. Necessary and sufficient conditions for the dynamic output feedback stabilization of fractional-order systems with order 0 < α < 1. Sci. China Inf. Sci. 62, 199201 (2019). https://doi.org/10.1007/s11432-018-9642-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-018-9642-x

Navigation