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

Gilmore, Max; Guiver, Christopher; Logemann, Hartmut


Max Gilmore

Hartmut Logemann


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.

Journal Article Type Article
Acceptance Date Nov 22, 2019
Online Publication Date Jan 14, 2020
Publication Date 2020-02
Deposit Date Jul 23, 2020
Publicly Available Date Jan 15, 2021
Journal Systems & Control Letters
Print ISSN 0167-6911
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 136
Article Number 104593
Keywords Absolute stability, Almost periodicity, Discrete-time systems, Incremental stability, Lur’e systems
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