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arXiv · 1603.01183

Solving systems of polynomial inequalities with algebraic geometry methods

Laura Menini·Corrado Possieri·Antonio Tornambè
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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.

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Laura Menini, Corrado Possieri, Antonio Tornambè. 2016-03-03. Solving systems of polynomial inequalities with algebraic geometry methods. https://arxiv.org/abs/1603.01183

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