Control of hybrid and switched systems

The aim of this research line is to provide a theoretical foundation and analysis tools for the analysis of switched systems including unstable subsystems. We are considering, to this end, nonlinear singular delayed systems, that constitute a very general framework. A Lyapunov-based approach is employed to obtain conditions under which the system can be guaranteed to be asymptotically stable. In addition, controller design methods are developed to stabilize this kind of general systems.