The course aims to provide solid mathematical principles for understanding interconnected dynamical systems, also known as multi-agent distributed systems, with particular attention to the Perron-Frobenius theory.
The learning objectives of the course include an understanding of dynamic phenomena related to multi-agent systems, including consensus, as well as the ability to design and analyze distributed algorithms for such systems.
During the course knowledge will be acquired in the analysis of multi-agent dynamical systems using matrix and graph theory. In particular, mathematical methods will be proposed to analyze matrices with non-negative components, representing the interconnection between heterogeneous actors, in order to identify the structural properties of the underlying network.
During the course students will deepen the analysis of interconnected dynamical systems through matrix and graph theory, working on examples to better understand the concepts presented.