Geometry and Topology in Control System Design
Abstract
The workshop Geometry and Topology in Control System Design has been selected by Banff International Research Station (BIRS) and will take place in Banff, Canada, from June 11 to June 16, 2023. This workshop focuses on geometry, topology and their applications to control systems. Control theory deals with the problem of shaping the behavior of systems, which can mean an engineered object, such as a robotic arm used for remote surgery, or a natural one, such as a flock of birds or even the brain. The basic driving questions are how to control or design a system which performs as desired. Geometric and topological ideas have led to technological breakthroughs throughout the years, but geometric thinking in engineering has not yet permeated the mainstream. The goal of this workshop is to bring together a diverse group of engineers and scientists working in geometry, topology and their intersection, in order to open new frontiers of research and applications. Specific research topics include dynamics and n-body problem, Morse theory, graph theory and their applications in decentralized control, optimization and geometry, Lie theory and its applications in ensemble control, Robotics and geometric mechanics. These research topics are directly aligned with the aim and specific objectives of the research programs of AFOSR. Forty two participants, with a mix of mathematicians and engineers, are expected to attend the workshop and invitations have already been sent out through emails.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Mar 06, 2024
- Source ID
- FA95502310511
Entities
People
- Mohamed-Ali Belabbas
Organizations
- Air Force Office of Scientific Research
- United States Air Force
- University of Illinois Urbana–Champaign