Generalized Graph Product: Spectrum, Trajectories and Controllability
Nhan Tran Trong, Airlie Chapman
Proceedings of the ... IEEE Conference on Decision & Control / IEEE Control Systems Society. IEEE Conference on Decision & Control | IEEE | Published : 2018
This paper presents a collection of properties on composite networks in terms of the properties on their respective factor networks. We explore a large class of composite networks using the notion of a generalized graph product. We provide the spectral properties as well as the trajectory of linear networked dynamics systems driven by the composite network's adjacency matrix. This work extends our previous research on controllability of the networked system via Cartesian product  to a broader family of graph products.
The research of the authors has been supported by an Early Career Grant from the University of Melbourne. T. N. Tran and A. Chapman are with the Department of Mechanical Engineering, University of Melbourne, VIC, Australia 3010. Emails: email@example.com, firstname.lastname@example.org.