On the solutions of the rational covariance extension problem corresponding to pseudopolynomials having boundary zeros


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Nurdin, Hendra I. and Bagchi, Arunabha (2004) On the solutions of the rational covariance extension problem corresponding to pseudopolynomials having boundary zeros. In: 43rd IEEE Conference on Decision and Control, CDC, 14-17 December 2004 , Nassau, Bahamas (pp. pp. 5386-5391).

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Abstract:In this paper, we study the rational covariance extension problem when the chosen pseudopolynomial of degree at most n has zeros on the boundary of the unit circle. In particular, we derive a necessary and sufficient condition for a solution to be bounded (i.e. has no poles on the unit circle). Furthermore, we propose a new procedure for computing all bounded solutions for this special case of zeros of pseudopolynomials on the boundary and illustrate it by means of two examples.
Item Type:Conference or Workshop Item
Copyright:© 2004 IEEE
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/48704
Official URL:http://dx.doi.org/10.1109/CDC.2004.1429664
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