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Finite-Time Stability of Homogeneous Impulsive Positive Systems of Degree One

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Abstract

This paper investigates the finite-time stability (FTS) of a special class of hybrid systems, namely homogeneous impulsive positive systems of degree one. By using max-separable Lyapunov functions together with average impulsive interval method, a sufficient FTS criterion is obtained for homogeneous impulsive positive systems of degree one. It should be noted that it’s the first time that the FTS result for homogeneous impulsive positive systems of degree one is given. Finally, some numerical examples are provided to demonstrate the effectiveness of the presented theoretical results.

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Acknowledgements

The authors would like to thank the editor and the anonymous reviewers for their constructive comments and suggestions which improved the quality of this paper. This work is supported by the Fundamental Research Funds for the Central Universities (Grant No. 0800219386).

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Authors and Affiliations

  1. School of Mathematics and Physics, Jinggangshan University, Ji’an, 343009, China

    Huitao Yang

  2. School of Mathematical Sciences, Tongji University, Shanghai, 200092, China

    Huitao Yang & Yu Zhang

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  1. Huitao Yang
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  2. Yu Zhang
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Correspondence to Yu Zhang.

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Yang, H., Zhang, Y. Finite-Time Stability of Homogeneous Impulsive Positive Systems of Degree One. Circuits Syst Signal Process 38, 5323–5341 (2019). https://doi.org/10.1007/s00034-019-01124-y

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  • DOI: https://doi.org/10.1007/s00034-019-01124-y

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