On approximating contractive systems

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Botner, Meir ; Zarai, Yoram ; Margaliot, Michael ; Grüne, Lars:
On approximating contractive systems.
In: IEEE Transactions on Automatic Control. Vol. 62 (December 2017) Issue 12 . - pp. 6451-6457.
ISSN 1558-2523
DOI: https://doi.org/10.1109/TAC.2017.2651649

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We study the problem of approximating the trajectories of a contractive system using a simpler system (e.g. an LTI system). We derive bounds on the approximation error that depend on the trajectories of the simpler system. We describe several applications of our results to models from systems biology.