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A parameterized solution to the simultaneous stabilization problem

2023/03/18 by Cui, Yufang, Lindquist, Anders
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2303.10345

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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