Dynamic zero finding for algebraic equations

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Title: Dynamic zero finding for algebraic equations
Authors: Mylvaganam, T
Ortega, R
Machado, J
Astolfi, A
Item Type: Conference Paper
Abstract: In a variety of contexts, for example the solution of differential games and the control of power systems, the design of feedback control laws requires the solution of nonlinear algebraic equations: obtaining such solutions is often not trivial. Motivated by such situations we consider systems of nonlinear algebraic equations and propose a method for obtaining their solutions. In particular, a dynamical system is introduced and (locally) stabilizing control laws which ensure that elements of the state converge to a solution of the algebraic equations are given. Illustrative numerical examples are provided. In addition it is shown that the proposed method is applicable to determine the equilibria of electrical networks with constant power loads.
Issue Date: 12-Jun-2018
Date of Acceptance: 8-Feb-2018
URI: http://hdl.handle.net/10044/1/57810
Publisher: IEEE
Journal / Book Title: European Control Conference
Copyright Statement: This paper is embargoed until publication.
Sponsor/Funder: Commission of the European Communities
Commission of the European Communities
Funder's Grant Number: 664639
739551
Conference Name: European Control Conference
Publication Status: Accepted
Start Date: 2018-06-12
Conference Place: Limassol, Cyprus
Embargo Date: publication subject to indefinite embargo
Appears in Collections:Electrical and Electronic Engineering
Aeronautics



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