ECE Seminar: Spectral Analysis, Modeling, and Control of Complex Dynamic Networks
Friday, April 4, 2014 - 12:00pm to 1:00pm
Victor Preciado PhD, Assistant Professor, Electrical and Systems Engineering, University of Pennsylvania
Research on complex networks has important applications in a wide variety of social and technological systems, such as the Internet, online social networks, the electric grid, and other cyber-physical systems. Since critical societal functions are increasingly dependent on these complex networks, it is important to ensure that their performance and reliability are not degraded as the structure of the network evolves over time. This requires us to acquire a deeper understanding of the relationship between the structure and dynamics of these complex systems. Understanding the dynamics of complex networks is a challenging problem due to: (1) the cumbersome size and complexity of the systems (e.g. the Internet), (2) the nonexistence of a vantage point with complete information about the structure of the system (e.g. social networks), and (3) the structure of the system itself may be changing over time. In this talk, I present a novel theoretical foundation to analyze massive networks of dynamical elements using tools and techniques at the intersection of dynamical systems and control, probability, optimization, and graph theory. Alongside, I use real experimental data from technological networks (e.g. electric transmission networks and the Internet), as well as online social networks (e.g. Facebook and Twitter graphs) to validate theoretical predictions and build computational tools of practical interest.