A two-variable approach to solve the polynomial Lyapunov equation

R Peeters, P Rapisarda*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

20 Citations (Web of Science)


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.

Original languageEnglish
Pages (from-to)117-126
Number of pages10
JournalSystems & Control Letters
Issue number2
Publication statusPublished - 15 Feb 2001


  • two-variable polynomial matrices
  • polynomial Lyapunov equation
  • Faddeev's method
  • quadratic differential forms
  • symbolic computation

Cite this