Authors

Renming Yang, Liying Sun, Guangyuan Zhang, Qiang Zhang

Abstract

This paper investigates the finite-time stability (FTS) and finite-time stabilization for a class of nonlinear singular time-delay Hamiltonian systems, and proposes a number of new results on these issues. Firstly, an equivalent form is obtained for the nonlinear singular time-delay Hamiltonian systems by the singular matrix decomposition method, based on which some delay-independent and delay-dependent conditions on the FTS are derived for the systems by constructing a kind of novel Lyapunov function. Secondly, we use the equivalent form as well as the energy shaping plus damping injection technique to investigate the finite-time stabilization problem for a class of nonlinear singular port-controlled Hamiltonian (PCH) systems with time delay, and present a specific control design procedure for the systems. Finally, we give several illustrative examples to show the effectiveness of the results obtained in this paper.

Citation

  • Journal: Journal of the Franklin Institute
  • Year: 2019
  • Volume: 356
  • Issue: 12
  • Pages: 5961–5992
  • Publisher: Elsevier BV
  • DOI: 10.1016/j.jfranklin.2019.04.033

BibTeX

@article{Yang_2019,
  title={{Finite-time stability and stabilization of nonlinear singular time-delay systems via Hamiltonian method}},
  volume={356},
  ISSN={0016-0032},
  DOI={10.1016/j.jfranklin.2019.04.033},
  number={12},
  journal={Journal of the Franklin Institute},
  publisher={Elsevier BV},
  author={Yang, Renming and Sun, Liying and Zhang, Guangyuan and Zhang, Qiang},
  year={2019},
  pages={5961--5992}
}

Download the bib file

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