Hierarchical Control for Continuous-time Systems via General Approximate Alternating Simulation Relations
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917453998587904 |
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| author | Huang, Zhiyuan Li, Shuo Arcak, Murat Zamani, Majid Zhong, Bingzhuo |
| author_facet | Huang, Zhiyuan Li, Shuo Arcak, Murat Zamani, Majid Zhong, Bingzhuo |
| contents | This paper introduces a general approximate alternating simulation relation (\emph{$\varepsilon$-gAAS relation}) for continuous-time systems, which relaxes existing simulation relations to tolerate larger mismatches between abstract and concrete models. The definition of gAAS for continuous-time systems is first proposed, and its properties are investigated. Then, a control refinement method is developed to enable hierarchical control for the gAAS relation. Finally, case studies demonstrate the effectiveness of the proposed approach, highlighting its advantages over existing methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_28108 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hierarchical Control for Continuous-time Systems via General Approximate Alternating Simulation Relations Huang, Zhiyuan Li, Shuo Arcak, Murat Zamani, Majid Zhong, Bingzhuo Systems and Control This paper introduces a general approximate alternating simulation relation (\emph{$\varepsilon$-gAAS relation}) for continuous-time systems, which relaxes existing simulation relations to tolerate larger mismatches between abstract and concrete models. The definition of gAAS for continuous-time systems is first proposed, and its properties are investigated. Then, a control refinement method is developed to enable hierarchical control for the gAAS relation. Finally, case studies demonstrate the effectiveness of the proposed approach, highlighting its advantages over existing methods. |
| title | Hierarchical Control for Continuous-time Systems via General Approximate Alternating Simulation Relations |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2604.28108 |