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A two-variable approach to solve the polynomial Lyapunov equation

A two-variable approach to solve the polynomial Lyapunov equation
A two-variable approach to solve the polynomial Lyapunov equation
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.
Two-variable polynomial matrices, Polynomial Lyapunov equation, Faddeev’s method, Quadratic diff
117-126
Peeters, Ralf
04f2c910-6b80-42aa-8283-6d6cc51765de
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Peeters, Ralf
04f2c910-6b80-42aa-8283-6d6cc51765de
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b

Peeters, Ralf and Rapisarda, Paolo (2001) A two-variable approach to solve the polynomial Lyapunov equation. Systems & Control Letters, 42, 117-126.

Record type: Article

Abstract

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.

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More information

Published date: 2001
Keywords: Two-variable polynomial matrices, Polynomial Lyapunov equation, Faddeev’s method, Quadratic diff
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 262217
URI: http://eprints.soton.ac.uk/id/eprint/262217
PURE UUID: 48c2f676-145b-4d06-a467-92d9d167aefc

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Date deposited: 30 Mar 2006
Last modified: 14 Aug 2019 18:54

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Contributors

Author: Ralf Peeters
Author: Paolo Rapisarda

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