A two-variable approach to solve the polynomial Lyapunov equation

摘要

A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov equation in an iterative fashion. The method is especially suitable for applications requiring exact or symbolic computation. (C) 2001 Elsevier Science B.V. All rights reserved. [References: 15]