Self-organizing control and synchronization of complex networks

In this talk, we will discuss decentralized and distributed self-organizing algorithms to control the collective behavior of complex networks. As a representative example, we will focus on the problem of reaching consensus or synchronization in a network of linear or nonlinear, possibly heterogeneous, systems (that we shall term as the “open-loop network”). We will discuss pinning control and synchronization strategies based on adaptation, contraction and evolution of the network together with novel approaches based on the theory of multiplex and multilayer networks. Applications will be discussed to networks of nonlinear circuits and power grids showing that it is possible for the network to be adapted and rewired in real time so that it can self-organize to best achieve the desired goal.