Strong Structural Functional Controllability of Networks

In this paper, we examine functional controllability for a family of linear time-invariant (LTI) networks having the same wiring diagrams. When a system is functional controllable, with a suitable choice of input, its output can follow the desired trajectory over a time period. In this work, we present sufficient combinatorial conditions for strong structural functional controllability of networks, that ensure the functional controllability of all LTI systems defined over the same system graph. Also, by defining a set of target nodes, a procedure for selecting a set of control nodes, rendering the network strongly structurally functional controllable, is proposed. A comparison between the results of this work and the existing results on strong structural output controllability and weak structural functional controllability is illustrated through some examples.