Einladung zum Vortrag im Kolloquium
Synchronization of Nonlinear Interconnected Systems: an Input-Output Approach
Prof. Dr. Luca Scardovi
Institute of Automatic Control Engineering (LSR)
Department of Electrical Engineering and Information Technology
Technische Universität München
München • Germany
Dienstag, 01. Juni 2010 · 16:00 Uhr
IST-Seminarraum 3.243 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen
I will present a formalism to analyze synchronization in networks of dynamical systems where each component of the network (referred to as a “compartment”) itself consists of subsystems (referred to as “species”) represented as nonlinear operators. The input to the species includes the influence of other species within the compartment as well as a diffusion-like coupling term between identical species in different compartments. The synchronization conditions are provided by combining the input-output properties of the subsystems with information about the structure of the network. The model is motivated by cellular networks where signaling occurs both internally, through interactions of species, and externally, through intercellular signaling. The theory is illustrated providing synchronization conditions for networks of genetic oscillators and convergence conditions for nonlinear state observers. If time permits I will also present a methodology to design dynamic controllers that overcome the limitations of static diffusive coupling.
Luca Scardovi received the Laurea degree and Ph.D. degree in Electronic and Computer Engineering from the University of Genoa, Italy, in 2001 and 2005 respectively. In 2005 he was Adjunct Professor at the University of Salento, Lecce, Italy. He held research associate positions at the Department of Electrical Engineering and Computer Science at the University of Liège, Belgium (2005-2007) and at the Department of Mechanical and Aerospace Engineering at Princeton University (2007-2009). He is currently an assistant professor in the Department of Electrical Engineering and Information Technology at the Technische Universität München (TUM), Munich, Germany. His research interests focus on dynamical systems with special emphasis in the analysis and control of complex networked systems.