Trumpf, JochenTrentelman, Harry L.2021-06-210018-9286http://hdl.handle.net/1885/237875We provide necessary and sufficient conditions for the node systems, the graph adjacency matrix, and the input matrix such that a heterogeneous network of multi-input multi-output linear time-invariant (LTI) node systems with constant linear couplings is controllable or stabilizable through the external input. We also provide specializations of these general conditions for homogeneous networks. Finally, we give a very simple, necessary and sufficient condition under which a homogeneous network of single-input single-output LTI node systems is stable in the absence of the external input.This work was supported by the Australian Research Council through the ARC Discovery Project DP160100783 “Sensing a complex world: Infinite dimensional observer theory for robots.”© 2018 IEEEBehavioral approachcontrollability and stabilizabilitylinear systemsnetwork analysis2018-11-2110.1109/TAC.2018.2882713