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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Botner_Zarai_Margaliot_Gruene_2016.pdf - Preprint
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Project information

Project title:

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

Project financing:

Andere
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
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 (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 Mar 2019 11:54
URI:	https://epub.uni-bayreuth.de/id/eprint/2813

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