Almost equitable partitions and geometry of the network structure: Applications to cyber-physical systems
PhD program in Automatic Control, Bioengineering and Operations Research (ABRO)
2020 ABRO Course on Advances in Automatic Control
Cybersecurity and Control
Mattia Mattioni and Salvatore Monaco, DIAG Sapienza
In this module it will be shown that the notion of almost equitable partition provides the natural setting for developing a ‘geometric’ theory of multi-agent systems interacting on a di-graph. Two applications will be considered: the characterization of the multi-consensus and the conditions for disturbance decoupling.