A parameterized solution to the simultaneous stabilization problem

Yufang Cui; Anders Lindquist

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arXiv · 2303.10345

A parameterized solution to the simultaneous stabilization problem

Yufang Cui·Anders Lindquist

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Abstract

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.

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Yufang Cui, Anders Lindquist. 2023-03-18. A parameterized solution to the simultaneous stabilization problem. https://arxiv.org/abs/2303.10345

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