On approximating contractive systems

Titelangaben

Botner, Meir ; Zarai, Yoram ; Margaliot, Michael ; Grüne, Lars:
On approximating contractive systems.
In: IEEE Transactions on Automatic Control. Bd. 62 (Dezember 2017) Heft 12 . - S. 6451-6457.
ISSN 0018-9286
DOI: https://doi.org/10.1109/TAC.2017.2651649

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Abstract

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.