Geometry, Topology and their Applications in Control System Design

This workshop will have a special focus on control theory and control systems. Control theory deals with the problem of shaping the behavior of ``systems,'' where a system can be an engineered object, such as a robot or a train, or a natural one, such as a flock of birds or even the brain. The basic driving questions are how to actuate, and how to design, the system to get it to perform as desired. Due to the wide variety of physical systems that control theory handles, the use of more abstract mathematical tools is very well suited to this field, and has already proven useful many instances, such as the study of system stability or optimal design of control system.