Vector Spaces of Linearizations for Multivariable State-Space Systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911886886305792 |
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| author | Bist, Avisek Behera, Namita |
| author_facet | Bist, Avisek Behera, Namita |
| contents | Consider a multivariable state space system and associated transfer function G(λ). The aim of this paper is to define and analyze two vector spaces of matrix pencils associated with the matrix G(λ) and show that almost all of these pencils are linearizations of G(λ). We also construct symmetric/Hermitian linearizations of G(λ) when G(λ) is regular and symmetric/Hermitian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15819 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vector Spaces of Linearizations for Multivariable State-Space Systems Bist, Avisek Behera, Namita Optimization and Control 65F15, 15A57, 15A18, 15B57, 15A22, 65F35 Consider a multivariable state space system and associated transfer function G(λ). The aim of this paper is to define and analyze two vector spaces of matrix pencils associated with the matrix G(λ) and show that almost all of these pencils are linearizations of G(λ). We also construct symmetric/Hermitian linearizations of G(λ) when G(λ) is regular and symmetric/Hermitian. |
| title | Vector Spaces of Linearizations for Multivariable State-Space Systems |
| topic | Optimization and Control 65F15, 15A57, 15A18, 15B57, 15A22, 65F35 |
| url | https://arxiv.org/abs/2405.15819 |