Non-minimal Spectral Factorization of a Descriptor System
- Authors
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Cristian Oara
Department of Automatic Control and Computers, POLITEHNICA University of Bucharest, Spl.Independentei 313, 060042 Bucharest, Romania
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Cristian Flutur
Department of Automatic Control and Computers, POLITEHNICA University of Bucharest, Spl.Independentei 313, 060042 Bucharest, Romania
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- Abstract
- Given a descriptor (singular) system whose transfer function matrix is analytic and invertible on a Cauchy contour, we use state-space realizations to construct the spectral factorization of the transfer function matrix with respect to the Couchy contour in the general case when there is no minimal factorization. Besides the simple algebraic nature of the arguments, we extend the theory of non-minimal Wiener-Hopf factorization of biproper rational matrices to the case of matrices which are polynomial, strictly proper or improper.
- References
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- Published
- 2010-06-15
- Issue
- Vol. 12 No. 2 (2010)
- Section
- Articles