A parameterized solution to the simultaneous stabilization problem
Optimization and Control
2023-08-22 v2
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.
Keywords
Cite
@article{arxiv.2303.10345,
title = {A parameterized solution to the simultaneous stabilization problem},
author = {Yufang Cui and Anders Lindquist},
journal= {arXiv preprint arXiv:2303.10345},
year = {2023}
}