On approximating contractive systems

Title data

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 0018-9286
DOI: https://doi.org/10.1109/TAC.2017.2651649

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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 in another language

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:	Article in a journal
Refereed:	Yes
Keywords:	Contractive systems; matrix measures; linearized model; input to state dynamical stability; systems biology
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 > Professorship 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)
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	15 Mar 2017 07:37
Last Modified:	06 Dec 2017 06:46
URI:	https://eref.uni-bayreuth.de/id/eprint/36586

Available Versions of this Item

On approximating contractive systems. (deposited 21 May 2016 21:00)
- On approximating contractive systems. (deposited 15 Mar 2017 07:37) [Currently Displayed]