Structural controllability of complex dynamical networks with nodes being multidimensional dynamics

摘要

In a complex dynamical network, one node often has multidimensional dynamics. In this paper, the structural controllability of complex dynamical networks with multidimensional node dynamics is studied. Using the Maximum Matching principle, the node states supposed to be controlled are selected. The number of driver nodes reaches its minimum value. Considering whether the states of driver nodes are fully or partially controlled, we discuss the structural controllability with fewest driver states and deduce rigorous criteria respectively. Some simulations are given to verify the effectiveness of the proposed schemes.