Non-standard J -Spectral Factorization of Rational Matrices via Generalized Algebraic Riccati Equation

Abstract

This paper considers a J-spectral factorization of a rational spectral matrix, which is related to the nonstandard H_∞ control problem for a descriptor system. We show that the existence of the J-spectral factor is equivalent to the existence of a semi-stabilizing solution of a generalized algebraic Riccati equation (GARE).