Solution of polynomial Lyapunov and Sylvester equations
Solution of polynomial Lyapunov and Sylvester equations
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.
Koninklijke Nederlandse Academie van Wetenschappen (KNAW)
Peeters, Ralf
04f2c910-6b80-42aa-8283-6d6cc51765de
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
2006
Peeters, Ralf
04f2c910-6b80-42aa-8283-6d6cc51765de
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
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).
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Book Section
Abstract
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.
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: 14 Mar 2024 07:54
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Contributors
Author:
Ralf Peeters
Author:
Paolo Rapisarda
Editor:
Ben Hanzon
Editor:
Michiel Hazewinkel
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