Solution of polynomial Lyapunov and Sylvester equations

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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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.

Item Type: Book Section
Organisations: Southampton Wireless Group
ePrint ID: 264653
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Date Deposited: 05 Oct 2007
Last Modified: 17 Apr 2017 19:32
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