Controllability, stability and stabilization of switched, hybrid and quantized systems
In the description of complex phenomena it is natural and useful to consider systems whose evolution is described by patching together trajectories of different vector fields. Piecewise linear, switched, hybrid, quantized systems are obtained, depending on the different laws that rule switching among different trajectories and on the different kinds of vector fields.
The study of these systems can not be performed by simply assembling the behaviors of the single components, since the interaction between continuous and discrete time systems, and real and discrete valued states must be understood.
The laws that under which switching among different vector fields occurs, can be intrinsic to the model, but can also be viewed as control laws. Therefore, it is of interest to study properties as controllability, stability and stabilizability, as well as consensus and clusterization.