Nonuniform complete observability; preservation by output feedback and duality results
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929530025803776 |
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| author | Huerta, Ignacio |
| author_facet | Huerta, Ignacio |
| contents | In this paper we propose a new observability property for nonautonomous linear control systems in finite dimension; the nonuniform complete observability, which is more general than the uniform complete observability. The main result of this work will prove that nonuniform complete observability is preserved via output feedback. In addition, the duality between this concept and the recently introduced concept of nonuniform complete controllability will be proved, leading to the result of preservation of nonuniform complete controllability via input feedback. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04656 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonuniform complete observability; preservation by output feedback and duality results Huerta, Ignacio Optimization and Control Classical Analysis and ODEs 93B05, 93B07, 93B52, 93C05 In this paper we propose a new observability property for nonautonomous linear control systems in finite dimension; the nonuniform complete observability, which is more general than the uniform complete observability. The main result of this work will prove that nonuniform complete observability is preserved via output feedback. In addition, the duality between this concept and the recently introduced concept of nonuniform complete controllability will be proved, leading to the result of preservation of nonuniform complete controllability via input feedback. |
| title | Nonuniform complete observability; preservation by output feedback and duality results |
| topic | Optimization and Control Classical Analysis and ODEs 93B05, 93B07, 93B52, 93C05 |
| url | https://arxiv.org/abs/2410.04656 |