2013 Academic Year Seminars
A hybrid dynamical system is a system described by both differential equations (continuous flows) and difference equations (discrete transitions). It has the benefit of allowing more flexible modeling of dynamic phenomena, including physical systems with impact such as the bouncing ball, switched systems such as the thermostat, and even the internet congestion as examples. Hybrid dynamical systems pose a challenge since almost all reduction methods cannot be directly applied. Here we show some recent developments in the area of model reduction of switched dynamical systems.
Younes Chahlaoui received his undergraduate education and a master's degree in mathematics in El Jadida, Morocco and PhD in applied sciences from the Universite Catholic de Louvain, Louvain-La-Neuve, Belgium, in 2003. Since January 2008 he is a research associate at the School of Mathematics, Manchester University. Younes research interests are in linear algebra, numerical analysis, model reduction, systems and control theory, and scientific computing.