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Circuits, Systems, and Signal Processing

, Volume 38, Issue 11, pp 5323–5341 | Cite as

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

  • Huitao Yang
  • Yu ZhangEmail author
Short Paper
  • 107 Downloads

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.

Keywords

Finite-time stability Homogeneous systems Impulsive positive systems Max-separable Lyapunov functions 

Notes

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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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mathematics and PhysicsJinggangshan UniversityJi’anChina
  2. 2.School of Mathematical SciencesTongji UniversityShanghaiChina

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