Evaluation of matrix polynomials in the state companion matrix of linear time invariant systems
Evaluation of matrix polynomials in the state companion matrix of linear time invariant systems
In this paper a new iterative algorithm is presented for the numerical evaluation of matrix polynomials in the state companion matrix of a linear time invariant system. The algorithm also enables the polynomial coefficients of the characteristic equation and the eigenvectors of the state companion matrix to be found. In particular, a truncated series approximation is given for the state transition matrix, providing the most efficient computation known for a prescribed truncation error. The adjustment recursive coefficients used in evaluating the state transition matrix are shown to be on alternative means of evaluating the elements of the inverse Vandermonde matrix of the systems' eigenvalues.
301-307
Harris, C J
c4fd3763-7b3f-4db1-9ca3-5501080f797a
1973
Harris, C J
c4fd3763-7b3f-4db1-9ca3-5501080f797a
Harris, C J
(1973)
Evaluation of matrix polynomials in the state companion matrix of linear time invariant systems.
International Journal of Systems Science, 4 (3), .
(doi:10.1080/00207727308920016).
Abstract
In this paper a new iterative algorithm is presented for the numerical evaluation of matrix polynomials in the state companion matrix of a linear time invariant system. The algorithm also enables the polynomial coefficients of the characteristic equation and the eigenvectors of the state companion matrix to be found. In particular, a truncated series approximation is given for the state transition matrix, providing the most efficient computation known for a prescribed truncation error. The adjustment recursive coefficients used in evaluating the state transition matrix are shown to be on alternative means of evaluating the elements of the inverse Vandermonde matrix of the systems' eigenvalues.
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Published date: 1973
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Address: London
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Southampton Wireless Group
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Local EPrints ID: 252052
URI: http://eprints.soton.ac.uk/id/eprint/252052
ISSN: 0020-7721
PURE UUID: 1140f97a-8766-42b2-ba8c-87ce0178eff0
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Date deposited: 03 Dec 1999
Last modified: 19 Oct 2022 16:45
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C J Harris
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