On approximating contractive systems

URN to cite this document: urn:nbn:de:bvb:703-epub-2813-7

Title data

Botner, Meir ; Zarai, Yoram ; Margaliot, Michael ; Grüne, Lars:
On approximating contractive systems.
Bayreuth , 2016 . - 18 S.

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Name:	Botner_Zarai_Margaliot_Gruene_2016.pdf
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Available under License	German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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Project's official title	Project's id
The research of Michael Margaliot is partially supported by research grants from the Israeli Ministry of Science, Technology & Space and from the Israel Science Foundation	No information

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Israeli Ministry of Science, Technology & Space and Israel Science Foundation

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.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erschienen in: IEEE Transactions on Automatic Control. Bd. 62 (Dezember 2017) Heft 12 . - S. 6451-6457. DOI: https://doi.org/10.1109/TAC.2017.2651649
Keywords:	Contractive systems; matrix measures; linearized model; input to state dynamical stability; systems biology
DDC Subjects:	500 Science > 510 Mathematics
Institutions of the University:	Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-2813-7
Date Deposited:	17 May 2016 09:20
Last Modified:	28 May 2021 06:33
URI:	https://epub.uni-bayreuth.de/id/eprint/2813

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