Passivity and Finite-Time Passivity for Multi-Weighted Fractional-Order Complex Networks with Fixed and Adaptive Couplings

Numerous complex systems in nature or human society are able to be modeled as complex dynamical networks (CDNs) which are made up by a mass of edges and nodes, e.g., social networks, public traffic roads networks, food webs, etc. Therefore, a great number of researchers have paid increasing attention to the dynamical behaviors (such as passivity [1, 2], synchronization [3–7] and stability [8]) for CDNs, which is not only useful to have a better understanding of many natural phenomena but also beneficial to better take advantage of these dynamical behaviors.