Title
Dynamic Zero Finding For Algebraic Equations
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.
Year
DOI
Venue
2018
10.23919/ECC.2018.8550185
2018 EUROPEAN CONTROL CONFERENCE (ECC)
Field
DocType
Citations 
Applied mathematics,Nonlinear system,Computer science,Electric power system,Algebraic equation,Dynamical system,Trajectory
Conference
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Thulasi Mylvaganam1409.84
Romeo Ortega22461368.80
Juan E. Machado342.11
Alessandro Astolfi41554169.77