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Zero finding via feedback stabilisation

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Title: Zero finding via feedback stabilisation
Authors: Mylvaganam, T
Astolfi, A
Item Type: Conference Paper
Abstract: Two iterative algorithms for solving systems of linear and nonlinear equations are proposed. For linear problems the algorithm is based on a control theoretic approach and it is guaranteed to yield a converging sequence for any initial condition provided a solution exists. Systems of nonlinear equations are then considered and a generalised algorithm, again taking inspiration from control theory, is proposed. Local convergence is guaranteed in the nonlinear setting. Both the linear and the nonlinear algorithms are demonstrated on a series of numerical examples.
Issue Date: Jul-2017
Date of Acceptance: 27-Feb-2017
URI: http://hdl.handle.net/10044/1/45346
DOI: 10.1016/j.ifacol.2017.08.1253
ISSN: 1474-6670
Publisher: Elsevier
Start Page: 8133
End Page: 8138
Journal / Book Title: IFAC Proceedings Volumes (IFAC-PapersOnline)
Volume: 50
Issue: 1
Copyright Statement: © 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Conference Name: IFAC 2017 World Congress
Keywords: Numerical algorithms
numerical methods
convergence of numerical methods
control system design
numerical analysis
SYSTEMS
Publication Status: Published
Start Date: 2017-07-09
Finish Date: 2017-07-14
Conference Place: Toulouse, France
Online Publication Date: 2017-10-18
Appears in Collections:Electrical and Electronic Engineering
Aeronautics
Faculty of Engineering