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Finite-Time Stability and Stabilization of Fractional-Order Switched Singular Continuous-Time Systems

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Abstract

The finite-time stability and stabilization of a class of fractional-order switched singular continuous-time systems with order \(0<\alpha <1\) are investigated in this paper. First, by employing the average dwell time switching technique, together with the introduction of multiple Lyapunov functions, some sufficient conditions of the finite-time stability and finite-time boundedness are derived for the considered system. Second, based on the obtained conditions, suitable state feedback controllers can be designed if a set of linear matrix inequalities are feasible. Finally, an illustrative example is presented to show the effectiveness of the proposed results.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 61403241), by the Fundamental Research Funds for the Central Universities (Nos. GK201703009, GK201903004, GK201905001) and also by the China Scholarship Council (No. 201806870032).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710119, People’s Republic of China

    Tian Feng, Baowei Wu, Lili Liu & Yue-E Wang

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  1. Tian Feng
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  2. Baowei Wu
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Correspondence to Baowei Wu.

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Feng, T., Wu, B., Liu, L. et al. Finite-Time Stability and Stabilization of Fractional-Order Switched Singular Continuous-Time Systems. Circuits Syst Signal Process 38, 5528–5548 (2019). https://doi.org/10.1007/s00034-019-01159-1

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