Approximation of trajectories of non-linear systems by iterates of systems with linear state dynamics
Approximation of trajectories of non-linear systems by iterates of systems with linear state dynamics
A modification of an iterative Picard process is proposed to approximate the output of a non-linear system by a concatenation of systems with linear state dynamics and non-linear outputs. A local uniform convergence result is given. The motivating example is a non-linear system that arises in surface plasmon resonance experiments to determine protein-protein interaction constants. We show with simulations that for this example the approximants converge not only locally but over the full time interval of interest in the application.
Approximation, Linear system, Non-linear system, Surface plasmon resonance
377-381
Hunt, L. R.
53fe4444-1524-4025-bc70-14ca24fda6d3
Sally Ward, E.
b31c0877-8abe-485f-b800-244a9d3cd6cc
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
March 2004
Hunt, L. R.
53fe4444-1524-4025-bc70-14ca24fda6d3
Sally Ward, E.
b31c0877-8abe-485f-b800-244a9d3cd6cc
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Hunt, L. R., Sally Ward, E. and Ober, Raimund J.
(2004)
Approximation of trajectories of non-linear systems by iterates of systems with linear state dynamics.
Systems and Control Letters, 51 (5), .
(doi:10.1016/j.sysconle.2003.09.012).
Abstract
A modification of an iterative Picard process is proposed to approximate the output of a non-linear system by a concatenation of systems with linear state dynamics and non-linear outputs. A local uniform convergence result is given. The motivating example is a non-linear system that arises in surface plasmon resonance experiments to determine protein-protein interaction constants. We show with simulations that for this example the approximants converge not only locally but over the full time interval of interest in the application.
This record has no associated files available for download.
More information
Accepted/In Press date: 16 September 2003
e-pub ahead of print date: 13 December 2003
Published date: March 2004
Keywords:
Approximation, Linear system, Non-linear system, Surface plasmon resonance
Identifiers
Local EPrints ID: 424083
URI: http://eprints.soton.ac.uk/id/eprint/424083
ISSN: 0167-6911
PURE UUID: 57bef2ab-6ada-4c94-bdbc-dbeaa8c4e495
Catalogue record
Date deposited: 04 Oct 2018 16:30
Last modified: 18 Mar 2024 03:48
Export record
Altmetrics
Contributors
Author:
L. R. Hunt
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
