A sum of squares approximation of nonnegative polynomials

Author:	Lasserre Jean B., LAAS-CNRS, France
Topic:	2.5 Robust Control
Session:	Positive Polynomials and LMI Optimization with Applications to Robust Control
Keywords:	Nonnegative polynomials, sums of squares.

Abstract

We show that every real nonnegative polynomial fcan be approximated as closely as desired by a sequence of polynomials f-epsilon that are sums of squares. Eachf-epsilon has a simple and explicit form in terms of f and epsilon.