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Abstract In this article, we investigate the controllability of multi-agent systems with leaders as control inputs, where the interconnection is directed and weighted. We employ weight-balanced partition to classify the interconnection graphs, and study the controllable subspaces with given nontrivial weight-balanced partition. We also provide two necessary and sufficient graph conditions on structural controllability and strong structural controllability. Moreover, we consider the effect of the zero row-sum restrictions of the system matrices on structural controllability. Keywords: controllabilitypartitionweight-balanced partitionstructural controllabilitystrong structural controllability Acknowledgement This work has been supported by the NNSF of China under Grant 61174071.
Lou et al. (Wed,) studied this question.
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