On the solutions of the rational covariance extension problem corresponding to pseudopolynomials having boundary zeros
In this note, we study the rational covariance extension problem with degree bound when the chosen pseudopolynomial of degree at most n has zeros on the boundary of the unit circle and derive some new theoretical results for this special case. In particular, a necessary and sufficient condition for a solution to be bounded (i.e., has no poles on the unit circle) is established. Our approach is based on convex optimization, similar in spirit to the recent development of a theory of generalized...[Show more]
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|Source:||IEEE Transactions on Automatic Control|
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