Interconnection-based Model Reduction for Linear Hybrid Systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912841800351744 |
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| author | Niu, Zirui Scarciotti, Giordano Astolfi, Alessandro |
| author_facet | Niu, Zirui Scarciotti, Giordano Astolfi, Alessandro |
| contents | In this paper, we address the model reduction problem for linear hybrid systems via the interconnection-based technique called moment matching. We consider two classical interconnections, namely the direct and swapped interconnections, in the hybrid setting, and we present families of reduced-order models for each interconnection via a hybrid characterisation of the steady-state responses. By combining the results for each interconnection, the design of a reduced-order model that achieves moment matching simultaneously for both interconnections is studied. In addition, we show that the presented results have simplified counterparts when the jumps of the hybrid system are periodic. A numerical simulation is finally given to illustrate the results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16149 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Interconnection-based Model Reduction for Linear Hybrid Systems Niu, Zirui Scarciotti, Giordano Astolfi, Alessandro Systems and Control Optimization and Control In this paper, we address the model reduction problem for linear hybrid systems via the interconnection-based technique called moment matching. We consider two classical interconnections, namely the direct and swapped interconnections, in the hybrid setting, and we present families of reduced-order models for each interconnection via a hybrid characterisation of the steady-state responses. By combining the results for each interconnection, the design of a reduced-order model that achieves moment matching simultaneously for both interconnections is studied. In addition, we show that the presented results have simplified counterparts when the jumps of the hybrid system are periodic. A numerical simulation is finally given to illustrate the results. |
| title | Interconnection-based Model Reduction for Linear Hybrid Systems |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2601.16149 |