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On the controllability of networks with nonidentical linear nodes

dc.contributor.authorArreola Delgado, Alejandra del Carmen
dc.contributor.authorBarajas Ramírez, Juan Gonzalo
dc.identifier.citationA. Arreola-Delgado, J. G. Barajas-Ramírez; On the controllability of networks with nonidentical linear nodes, IMA Journal of Mathematical Control and Information, , dnw069,
dc.description.abstract"The controllability of dynamical networks depends on both network structure and node dynamics. For networks of linearly coupled linear dynamical systems the controllability of the network can be determined using the well-known Kalman rank criterion. In the case of identical nodes the problem can be decomposed in local and structural contributions. However, for strictly different nodes an alternative approach is needed. We decomposed the controllability matrix into a structural component, which only depends on the networks structure and a dynamical component which includes the dynamical description of the nodes in the network. Using this approach we show that controllability of dynamical networks with strictly different linear nodes is dominated by the dynamical component. Therefore even a structurally uncontrollable network of different nn dimensional nodes becomes controllable if the dynamics of its nodes are properly chosen. Conversely, a structurally controllable network becomes uncontrollable for a given choice of the node’s dynamics. Furthermore, as nodes are not identical, we can have nodes that are uncontrollable in isolation, while the entire network is controllable, in this sense the node’s controllability is overwritten by the network even if the structure is uncontrollable. We illustrate our results using single-controller networks and extend our findings to conventional networks with large number of nodes."
dc.publisherOxford University Press
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.subjectNetwork control
dc.subjectLinear system
dc.titleOn the controllability of networks with nonidentical linear nodes
dc.rights.accessAcceso Abierto

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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional