A Dynamical Network Framework with Application to Stability of Power Networks

We advocate and motivate in this paper a general framework for studying dynamical networks with both node (agent) and edge (communication) dynamics. Specifically, the agents interact with each other via transfer incident systems and dynamical communication channels. The potential of using the proposed framework to model network problems and architectures is demonstrated by a concrete example. The framework facilitates the study of stability and performance of various network dynamics. An application to angle stability of electrical power networks involving locally positive feedbacks is discussed as an illustrating example.