  A new complex network model, called q-snapback network, is introduced. Basic
topological characteristics of the network, such as degree distribution,
average path length, clustering coefficient and Pearson correlation
coefficient, are evaluated. The typical 4-motifs of the network are simulated.
The robustness of both state and structural controllabilities of the network
against targeted and random node- and edge-removal attacks, with comparisons to
the multiplex congruence network and the generic scale-free network, are
presented. It is shown that the q-snapback network has the strongest robustness
of controllabilities due to its advantageous inherent structure with many
chain- and loop-motifs.
