Research Output

Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems

  Incremental stability and convergence properties for forced, infinite-dimensional, discrete-time Lur'e systems are addressed. Lur'e systems have a linear and nonlinear component and arise as the feedback interconnection of a linear control system and a static nonlinearity. Discrete-time Lur'e systems arise in, for example, sampled-data control and integro-difference models. We provide conditions, reminiscent of classical absolute stability criteria, which are sufficient for a range of incremental stability properties and input-to-state stability (ISS). Consequences of our results include sufficient conditions for the converging-input converging-state (CICS) property, and convergence to periodic solutions under periodic forcing.

  • Type:

    Article

  • Date:

    22 February 2019

  • Publication Status:

    Published

  • Publisher

    Taylor and Francis

  • DOI:

    10.1080/00207179.2019.1575528

  • Cross Ref:

    10.1080/00207179.2019.1575528

  • ISSN:

    0020-7179

  • Funders:

    Historic Funder (pre-Worktribe)

Citation

Gilmore, M. E., Guiver, C., & Logemann, H. (2020). Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems. International Journal of Control, 93(12), 3026-3049. https://doi.org/10.1080/00207179.2019.1575528

Authors

Keywords

Absolute stability, converging-input converging-state p roperty, integral projection models, incremental stability, infinite-dimensional disc rete-time systems, input-to-state stability, Lur’e systems, sampled-data systems

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