Solving systems of polynomial inequalities with algebraic geometry methods

Autor:	Menini, Laura, Possieri, Corrado, Tornambè, Antonio
Rok vydání:	2016
Předmět:	Mathematics - Dynamical Systems Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 15 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1603.01183 Zobrazit plný text záznamu View this record from Arxiv