A parameterized solution to the simultaneous stabilization problem Article Swipe

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Yufang Cui , Anders Lindquist ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2303.10345 · OA: W4330337321

In a series of fundamental papers BK Ghosh reduced the simultaneous stabilization problem to a NevanlinnaPick interpolation problem. In this paper we generalize some of these results allowing for derivative constraints. Moreover, we apply a method based on a Riccati-type matrix equation, called the Covariance Extension Equation, which provides a parameterization of all solutions in terms of a monic Schur polynomial. The procedure is illustrated by examples.