Abstract
In Xiang et al. [6], a necessary condition for the controllability of a special type of heterogeneous networked system is derived. Theorem 3 in Xiang et al. states that the observability of each node is necessary for the controllability of a heterogeneous networked system satisfying (i) similar state matrices, (ii) output matrices are scalar multiples of one another and (iii) rank of the input matrix of the networked system is less than the number of nodes in the system. In this short article, we have given a counter example to show that this claim is not true in general. Further, we have given a necessary condition for the controllability of a heterogeneous networked system with above mentioned properties. The result obtained is demonstrated through examples.
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