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arXiv · 2504.17417

Obtaining Structural Network Controllability with Higher-Order Local Dynamics

Marco Peruzzo·Giacomo Baggio·Francesco Ticozzi
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Abstract

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.

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Marco Peruzzo, Giacomo Baggio, Francesco Ticozzi. 2025-04-24. Obtaining Structural Network Controllability with Higher-Order Local Dynamics. https://arxiv.org/abs/2504.17417

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