Research Output

Semi-global incremental input-to-state stability of discrete-time Lur'e systems

  We present sufficient conditions for semi-global incremental input-to-state stability of a class of forced discrete-time Lur'e systems. The results derived are reminiscent of well-known absolute stability criteria such as the small gain theorem and the circle criterion. We derive a natural sufficient condition which guarantees that asymptotically (almost) periodic inputs generate asymptotically (almost) periodic state trajectories. As a corollary, we obtain sufficient conditions for the converging-input converging-state property to hold.

  • Type:

    Article

  • Date:

    14 January 2020

  • Publication Status:

    Published

  • Publisher

    Elsevier

  • DOI:

    10.1016/j.sysconle.2019.104593

  • ISSN:

    0167-6911

  • Funders:

    Historic Funder (pre-Worktribe)

Citation

Gilmore, M., Guiver, C., & Logemann, H. (2020). Semi-global incremental input-to-state stability of discrete-time Lur'e systems. Systems and Control Letters, 136, https://doi.org/10.1016/j.sysconle.2019.104593

Authors

Keywords

Absolute stability, Almost periodicity, Discrete-time systems, Incremental stability, Lur’e systems

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