Solving systems of polynomial inequalities with algebraic geometry methods
Dynamical Systems
2016-03-04 v1 Algebraic Geometry
Abstract
The goal of this paper is to provide computational tools able to find a solution of a system of polynomial inequalities. The set of inequalities is reformulated as a system of polynomial equations. Three different methods, two of which taken from the literature, are proposed to compute solutions of such a system. An example of how such procedures can be used to solve the static output feedback stabilization problem for a linear parametrically-varying system is reported.
Cite
@article{arxiv.1603.01183,
title = {Solving systems of polynomial inequalities with algebraic geometry methods},
author = {Laura Menini and Corrado Possieri and Antonio Tornambè},
journal= {arXiv preprint arXiv:1603.01183},
year = {2016}
}
Comments
15 pages, 2 figures