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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
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
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
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
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
Song X N, Wang Z. Dynamic output feedback control for fractional-order systems. Asian J Control, 2013, 15: 834–848
Ji Y D, Qiu J Q. Stabilization of fractional-order singular uncertain systems. ISA Trans, 2015, 56: 53–64
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
Podlubny I. Fractional Differential Equations. New York: Academic Press, 1999
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.
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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