The Kalman-Yakubovich-Popov lemma in a behavioural framework and polynomial spectral factorization


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Geest, Robert van der and Trentelman, Harry (1997) The Kalman-Yakubovich-Popov lemma in a behavioural framework and polynomial spectral factorization. In: 36th IEEE Conference on Decision and Control, 1997, 10-12 December 1997, San Diego, California, U.S.A. (pp. pp. 2578-2583).

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Abstract:The classical Kalman-Yakubovich-Popov lemma provides a link between dissipativity of a system in state-space form and the solution to a linear matrix inequality. In this paper we derive the KYP lemma for linear systems described by higher-order differential equations. The result is an LMI in terms of the original coefficients in which the dissipativity problem is posed. Subsequently we study the connection between dissipativity and spectral factorization of polynomial matrices. This enables us to derive a new algorithm for polynomial spectral factorization in terms of an LMI in the coefficients of the polynomial matrix
Item Type:Conference or Workshop Item
Copyright:© 1997 IEEE
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Link to this item:http://purl.utwente.nl/publications/61645
Official URL:http://dx.doi.org/10.1109/CDC.1997.657753
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