Research Output
Exponential input-to-state stability for Lur’e systems via Integral Quadratic Constraints and Zames-Falb Multipliers
  Absolute stability criteria which are sufficient for global exponential stability are shown, under a Lipschitz assumption, to be sufficient for the a priori stronger exponential input-to-state stability property. Important corollaries of this result are: i) absolute stability results obtained using Zames-Falb multipliers for systems containing slope-restricted nonlinearities provide exponential input-to-state-stability under a mild detectability assumption; and ii) more generally, many absolute stability results obtained via integral quadratic constraint (IQC) methods provide, with the additional Lipschitz assumption, this stronger property.

  • Type:

    Article

  • Date:

    04 February 2024

  • Publication Status:

    Published

  • DOI:

    10.1093/imamci/dnae003

  • ISSN:

    0265-0754

  • Funders:

    RSE Royal Society of Edinburgh; Royal Academy of Engineering

Citation

Drummond, R., Guiver, C., & Turner, M. (2024). Exponential input-to-state stability for Lur’e systems via Integral Quadratic Constraints and Zames-Falb Multipliers. IMA Journal of Mathematical Control and Information, 41(1), 1-17. https://doi.org/10.1093/imamci/dnae003

Authors

Keywords

absolute stability, exponential input-to-state stability, Integral Quadratic Constraint, Lur’e system, Zames-Falb multiplier

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