Geometry, Topology and their Applications in Control System Design (Cancelled) (21w5224)


(University of Illinois, Urbana-Champaign)

Anthony Bloch (University of Michigan)

Xudong Chen (University of Colorado at Boulder)


The Banff International Research Station will host the "Geometry, Topology and their Applications in Control System Design" workshop in Banff from February 21 to February 26, 2021.

While geometric and topological ideas in engineering have led to some technological breakthrough throughout the years, the use of more advanced mathematical tools in engineering is not yet as commonplace as it is in, say, physics. The goal of this workshop is to bring together scientists working either in these areas or at their intersection to further the exchange and integration of ideas.

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.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).