Work

Solving systems of polynomial inequalities with algebraic geometry methods

Year: 2016

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1603.01183

Authors: Menini, Laura, Possieri, Corrado, Tornambè, Antonio

Institution: University of Rome Tor Vergata

Language: English

Topic: Polynomial and algebraic computation

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2291806214

Cites: 31

Cited by: 1

Related to: 20