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Finite-time stability analysis for switched systems: MDADT-based trade-off switching approaches

Author

Listed:
  • Liu, Yu-Han
  • Wang, Zi-Ming
  • Li, Xiaodi
  • Zhao, Xudong

Abstract

In this paper, the problems on finite-time stability (FTS) and finite-time contractive stability (FTCS) are investigated for switched systems with mode-dependent average dwell time (MDADT) switching. By developing the novel MDADT-based trade-off switching mechanisms, new FTS and FTCS conditions are obtained respectively for the systems with nonlinear and linear context, where the unstable modes over the infinite-time interval do not require to be FTS over a finite-time interval, which is unlike most existing finite-time stable results. Moreover, to ensure that all the modes to meet the specified performance metrics, FTS and FTCS conditions based on control design are also provided for switched linear systems. Finally, some simulation results are presented for verifying the feasibility of the proposed theoretic results.

Suggested Citation

  • Liu, Yu-Han & Wang, Zi-Ming & Li, Xiaodi & Zhao, Xudong, 2026. "Finite-time stability analysis for switched systems: MDADT-based trade-off switching approaches," Chaos, Solitons & Fractals, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:chsofr:v:205:y:2026:i:c:s0960077926000330
    DOI: 10.1016/j.chaos.2026.117892
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