Research Output
Incremental input-to-state stability for Lur’e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing
  We prove (integral) input-to-state stability results for a class of forced Lur’e differential inclusions and use them to investigate incremental (integral) input-to-state stability properties of Lur’e differential equations. The latter provide a basis for the derivation of convergence results for trajectories of Lur’e equations generated by Stepanov almost periodic inputs.

  • Type:

    Article

  • Date:

    19 August 2021

  • Publication Status:

    Published

  • DOI:

    10.1016/j.jde.2021.08.009

  • Cross Ref:

    10.1016/j.jde.2021.08.009

  • ISSN:

    0022-0396

  • Funders:

    Edinburgh Napier Funded

Citation

Gilmore, M., Guiver, C., & Logemann, H. (2021). Incremental input-to-state stability for Lur’e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing. Journal of Differential Equations, 300, 692-733. https://doi.org/10.1016/j.jde.2021.08.009

Authors

Keywords

Absolute stability, almost periodic functions, circle criterion, differential inclusions, incremental (integral) input-to-state stability, (integral) input-to-state stability, Lur’e systems

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