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Finite-Time Stability and Boundedness of Switched Systems with Finite-Time Unstable Subsystems

  • Jialin Tan
  • Weiqun Wang
  • Juan Yao
Article
  • 6 Downloads

Abstract

In this paper, problems covering finite-time stability and boundedness of switched systems with finite-time unstable subsystems are researched through the method of multi-Lyapunov function. On basis of the mode-dependent average dwell time method, the systems are required to meet the standards of remaining finite-time stable and finite-time bounded through the practice of designing the switching signal for finite-time stable and unstable subsystems respectively. Finally, stabilization conditions for switched linear systems based on linear matrix inequalities are presented to guarantee the finite-time stability of the closed-loop system. Numerical examples are put forward attempting to verify the efficiency through different methodologies.

Keywords

Switched nonlinear system Finite-time stability Finite-time boundedness Mode-dependent average dwell time 

Notes

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 61603188, 61573007).

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Nanjing University of Science and TechnologyNanjingChina

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