Obtaining Structural Network Controllability with Higher-Order Local Dynamics
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917997535297536 |
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| author | Peruzzo, Marco Baggio, Giacomo Ticozzi, Francesco |
| author_facet | Peruzzo, Marco Baggio, Giacomo Ticozzi, Francesco |
| contents | We consider a network of identical, first-order linear systems, and investigate how replacing a subset of the systems composing the network with higher-order ones, either taken to be generic or specifically designed, may affect its controllability. After establishing a correspondence between state controllability in networks of first-order systems with output controllability in networks of higher-order systems, we show that adding higher-order dynamics may require significantly fewer subsystem modifications to achieve structural controllability, when compared to first-order heterogeneous subsystems. Furthermore, we characterize the topology of networks (which we call X-networks) in which the introduction of heterogeneous local dynamics is not necessary for structural output controllability, as the latter can be attained by suitable higher-order subsystems with homogeneous internal dynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_17417 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Obtaining Structural Network Controllability with Higher-Order Local Dynamics Peruzzo, Marco Baggio, Giacomo Ticozzi, Francesco Optimization and Control Systems and Control We consider a network of identical, first-order linear systems, and investigate how replacing a subset of the systems composing the network with higher-order ones, either taken to be generic or specifically designed, may affect its controllability. After establishing a correspondence between state controllability in networks of first-order systems with output controllability in networks of higher-order systems, we show that adding higher-order dynamics may require significantly fewer subsystem modifications to achieve structural controllability, when compared to first-order heterogeneous subsystems. Furthermore, we characterize the topology of networks (which we call X-networks) in which the introduction of heterogeneous local dynamics is not necessary for structural output controllability, as the latter can be attained by suitable higher-order subsystems with homogeneous internal dynamics. |
| title | Obtaining Structural Network Controllability with Higher-Order Local Dynamics |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2504.17417 |