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Solution of polynomial Lyapunov and Sylvester equations

Record type: Book Section

A two-variable polynomial approach to solve the one-variable polynomial Lyapunov and Sylvester equations is proposed. Lifting the problem from the one-variable to the two-variable context gives rise to associated lifted equations which live on finite-dimensional vector spaces. This allows for the design of an iterative solution method which is inspired by the method of Faddeev for the computation of matrix resolvents. The resulting algorithms are especially suitable for applications requiring symbolic or exact computation.

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Citation

Peeters, Ralf and Rapisarda, Paolo (2006) Solution of polynomial Lyapunov and Sylvester equations In, Hanzon, Ben and Hazewinkel, Michiel (eds.) Constructive Algebra and Systems Theory. Koninklijke Nederlandse Academie van Wetenschappen (KNAW)

More information

Published date: 2006
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 264653
URI: http://eprints.soton.ac.uk/id/eprint/264653
PURE UUID: e8487666-bd7e-4443-9635-23f35d4d62b5

Catalogue record

Date deposited: 05 Oct 2007
Last modified: 18 Jul 2017 07:33

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Contributors

Author: Ralf Peeters
Author: Paolo Rapisarda
Editor: Ben Hanzon
Editor: Michiel Hazewinkel

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