Bridging Abstraction-Based Hierarchical Control and Moment Matching: A Conceptual Unification
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914185661644800 |
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| author | Niu, Zirui Shakib, Mohammad Fahim Scarciotti, Giordano |
| author_facet | Niu, Zirui Shakib, Mohammad Fahim Scarciotti, Giordano |
| contents | In this paper, we establish a relation between approximate-simulation-based hierarchical control (ASHC) and moment matching techniques, and build a conceptual bridge between these two frameworks. To this end, we study the two key requirements of the ASHC technique, namely the bounded output discrepancy and the $M$-relation, through the lens of moment matching. We show that, in the linear time-invariant case, both requirements can be interpreted in the moment matching perspective through certain system interconnection structures. Building this conceptual bridge provides a foundation for cross-pollination of ideas between these two frameworks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06875 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bridging Abstraction-Based Hierarchical Control and Moment Matching: A Conceptual Unification Niu, Zirui Shakib, Mohammad Fahim Scarciotti, Giordano Systems and Control Optimization and Control In this paper, we establish a relation between approximate-simulation-based hierarchical control (ASHC) and moment matching techniques, and build a conceptual bridge between these two frameworks. To this end, we study the two key requirements of the ASHC technique, namely the bounded output discrepancy and the $M$-relation, through the lens of moment matching. We show that, in the linear time-invariant case, both requirements can be interpreted in the moment matching perspective through certain system interconnection structures. Building this conceptual bridge provides a foundation for cross-pollination of ideas between these two frameworks. |
| title | Bridging Abstraction-Based Hierarchical Control and Moment Matching: A Conceptual Unification |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2512.06875 |