{"ID":2832049,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.06875","arxiv_id":"2512.06875","title":"Bridging Abstraction-Based Hierarchical Control and Moment Matching: A Conceptual Unification","abstract":"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.","short_abstract":"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 $M$-rela...","url_abs":"https://arxiv.org/abs/2512.06875","url_pdf":"https://arxiv.org/pdf/2512.06875v1","authors":"[\"Zirui Niu\",\"Mohammad Fahim Shakib\",\"Giordano Scarciotti\"]","published":"2025-12-07T15:04:05Z","proceeding":"eess.SY","tasks":"[\"eess.SY\",\"math.OC\"]","methods":"[]","has_code":false}