Authors

Yu-Han Liu, Zi-Ming Wang, Xudong Zhao

Abstract

In this paper, finite-time contractive (FTC) stabilization and \( \)\mathcal {H}\infty \( \) H ∞ control are discussed for switched nonlinear systems (SNSs) under the switched nonlinear port-controlled Hamiltonian system (SNPHS) framework, where several transformation relationships are introduced to link SNSs to SNPHSs. To ensure finite-time stability (FTS) of the closed-loop SNPHS and further achieve finite-time contractive stability (FTCS), we develop a switching state-feedback (SSF) controller together with two trade-off-based mode-dependent average dwell-time (MDADT) switching schemes. FTC stabilization conditions are then derived for both SNPHSs and the associated SNSs. Moreover, to attain \( \)\mathcal {H}\infty \( \) H ∞ FTCS performance, we introduce the maximum ratio of the activation time of unstable modes and, together with the proposed trade-off-based MDADT schemes, sufficient conditions on \( \)\mathcal {H}_\infty \( \) H ∞ FTCS control are also established for both SNPHSs and the associated SNSs via the SSF control design. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed results.

Keywords

finite-time contractive stability (ftcs), ftcs control, switched nonlinear systems, switched port-controlled hamiltonian systems, trade-off-based mode-dependent average dwell time

Citation

  • Journal: Nonlinear Dynamics
  • Year: 2026
  • Volume: 114
  • Issue: 9
  • Pages:
  • Publisher: Springer Science and Business Media LLC
  • DOI: 10.1007/s11071-026-12505-9

BibTeX

@article{Liu_2026,
  title={{Finite-time contractive stabilization and $$\mathcal {H}_\infty $$ control for switched nonlinear systems with trade-off-based MDADT switching}},
  volume={114},
  ISSN={1573-269X},
  DOI={10.1007/s11071-026-12505-9},
  number={9},
  journal={Nonlinear Dynamics},
  publisher={Springer Science and Business Media LLC},
  author={Liu, Yu-Han and Wang, Zi-Ming and Zhao, Xudong},
  year={2026}
}

Download the bib file

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