Minimal positive Markov realizations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911135303729152 |
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| author | Taghavian, Hamed Sjölund, Jens |
| author_facet | Taghavian, Hamed Sjölund, Jens |
| contents | Finding a positive state-space realization with the minimum dimension for a given transfer function is an open problem in control theory. In this paper, we focus on positive realizations in Markov form and propose a linear programming approach that computes them with a minimum dimension. Such minimum dimension of positive Markov realizations is an upper bound of the minimal positive realization dimension. However, we show that these two dimensions are equal for certain systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_21102 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal positive Markov realizations Taghavian, Hamed Sjölund, Jens Systems and Control Finding a positive state-space realization with the minimum dimension for a given transfer function is an open problem in control theory. In this paper, we focus on positive realizations in Markov form and propose a linear programming approach that computes them with a minimum dimension. Such minimum dimension of positive Markov realizations is an upper bound of the minimal positive realization dimension. However, we show that these two dimensions are equal for certain systems. |
| title | Minimal positive Markov realizations |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2502.21102 |