Detectability via observability in a nonuniform framework: dual relationship with controllability and stabilizability
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911104020512768 |
|---|---|
| author | Huerta, Ignacio Monzón, Pablo |
| author_facet | Huerta, Ignacio Monzón, Pablo |
| 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. A dual relationship is established between this new notion of observability and the recently defined nonuniform complete controllability property, with the aim of obtaining the main result, which proves that nonuniform complete observability guarantees the nonuniform exponential detectability, a concept related to exponential stability in this framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09918 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Detectability via observability in a nonuniform framework: dual relationship with controllability and stabilizability Huerta, Ignacio Monzón, Pablo Optimization and Control Dynamical Systems 93B05, 93B07, 93D05, 93D15, 93B53 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. A dual relationship is established between this new notion of observability and the recently defined nonuniform complete controllability property, with the aim of obtaining the main result, which proves that nonuniform complete observability guarantees the nonuniform exponential detectability, a concept related to exponential stability in this framework. |
| title | Detectability via observability in a nonuniform framework: dual relationship with controllability and stabilizability |
| topic | Optimization and Control Dynamical Systems 93B05, 93B07, 93D05, 93D15, 93B53 |
| url | https://arxiv.org/abs/2508.09918 |