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Finite-Time Stability of Discrete Switched Singular Positive Systems

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Abstract

The finite-time stability problem of discrete switched singular positive systems (DSSPSs) is investigated in this paper. First, the concept of finite-time stability for DSSPSs is proposed, and a necessary and sufficient condition of finite-time stability for DSSPSs under arbitrary switching is obtained. Second, based on the mode-dependent average dwell time approach, by constructing the quasi-linear Lyapunov function, a sufficient stability criterion of finite-time stability for DSSPSs is derived in terms of a set of linear matrix inequalities. Finally, a numerical example is given to show the effectiveness of the proposed techniques.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11371233 and 61403241.

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Authors and Affiliations

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

    Baowei Wu, Lili Liu & Yue-E Wang

  2. School of Science, Xi’an Polytechnic University, Xi’an, 710048, China

    Tingting Liu

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  1. Tingting Liu
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Correspondence to Baowei Wu.

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Liu, T., Wu, B., Liu, L. et al. Finite-Time Stability of Discrete Switched Singular Positive Systems. Circuits Syst Signal Process 36, 2243–2255 (2017). https://doi.org/10.1007/s00034-016-0423-3

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  • DOI: https://doi.org/10.1007/s00034-016-0423-3

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