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arXiv · 2402.04289

Multivariable simultaneous stabilization: A modified Riccati approach

Yufang Cui·Anders Lindquist
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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.

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Yufang Cui, Anders Lindquist. 2024-02-06. Multivariable simultaneous stabilization: A modified Riccati approach. https://arxiv.org/abs/2402.04289

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