Team SHOC deals with complex heterogeneous systems where continuous and discrete dynamics interact. The research mainly focuses on control problems and realization theory for hybrid system, as well as topics related to aperiodic sampling and cyber-physical networks. This interdisciplinary field is at the crossroad of research activities on nonlinear systems, differential inclusion and LPV systems. Algebraic tools and Lyapunov based methods are developed for realization theory, model reduction, stability analysis, control/observation design, and estimation problems. SHOC considers various application fields such as electrical engineering (power converters, sensorless control), networked/embedded/cyber-physical systems.