This paper extends results of  on the controllability of networked dynamic systems to situations in which some subsystems are not directly affected by external inputs. We establish some necessary and sufficient conditions for the system to be controllable. The topology is arbitrary, and every subsystem can have different dynamics. These conditions share the same properties of those in . That is, they essentially depend on the parameters of every subsystem separately and the subsystem connection matrix. Based on these conditions, simple criteria are given for the controllability of networked systems with some special topological structures.
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