Robust absolute stability using polynomial positivity and sign decomposition

Abstract

This paper presents new results to verify the robust absolute stability property of the Lur'e systems. As it is known, to solve the problem of robust absolute stability, the strict positive realness property (SPR) of a ficticious transfer function needs to be verified. Therefore, the aim of this work is determine sufficient conditions to verify the robust absolute stability property of Lur'e systems using a sign decomposition technique that guarantees the positivity of multivariable polynomials.