Cooperative Game Theory Tools to Detect Critical Nodes in Distributed Control Systems

In this work, we deal with the identification of critical nodes in distributed control systems by means of game theoretical tools. This detection is addressed taking into consideration different factors such as the control performance under different topologies, the communication costs, and the centrality of the nodes in the network under study. In this sense, a generalization of the solution concept known as position value is considered to obtain a payoff for each node. A method that captures relevant information of the nodes using probability density functions of their payoffs is given and tested through an academic example.