Journal
SYSTEMS & CONTROL LETTERS
Volume 136, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2019.104593
Keywords
Absolute stability; Almost periodicity; Discrete-time systems; Incremental stability; Lur'e systems
Funding
- EPSRC [1789410] Funding Source: UKRI
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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. (C) 2019 Elsevier B.V. All rights reserved.
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