Multivariable simultaneous stabilization: A modified Riccati approach
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911784590376960 |
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| author | Cui, Yufang Lindquist, Anders |
| author_facet | Cui, Yufang Lindquist, Anders |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04289 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multivariable simultaneous stabilization: A modified Riccati approach Cui, Yufang Lindquist, Anders Optimization and Control 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. |
| title | Multivariable simultaneous stabilization: A modified Riccati approach |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2402.04289 |