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arXiv · 1903.05418

Multivariable analytic interpolation with complexity constraints: A modified Riccati approach

Yufang Cui·Anders Lindquist
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Abstract

Analytic interpolation problems with rationality and derivative constraints occur in many applications in systems and control. In this paper we present a new method for the multivariable case, which generalizes our previous results on the scalar case. This turns out to be quite nontrivial, as it poses many new problems. A basic step in the procedure is to solve a Riccati type matrix equation. To this end, an algorithm based on homotopy continuation is provided.

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Yufang Cui, Anders Lindquist. 2019-03-13. Multivariable analytic interpolation with complexity constraints: A modified Riccati approach. https://arxiv.org/abs/1903.05418

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