Multivariable simultaneous stabilization: A modified Riccati approach
Optimization and Control
2024-02-28 v2
Abstract
Simultaneous stabilization problem arises in various systems and control applications. This paper introduces a new approach to addressing this problem in the multivariable scenario, building upon our previous findings in the scalar case. The method utilizes a Riccati-type matrix equation known as the Covariance Extension Equation, which yields all solutions parameterized in terms of a matrix polynomial. The procedure is demonstrated through specific examples.
Cite
@article{arxiv.2402.04289,
title = {Multivariable simultaneous stabilization: A modified Riccati approach},
author = {Yufang Cui and Anders Lindquist},
journal= {arXiv preprint arXiv:2402.04289},
year = {2024}
}