Linear Obstacles in Linear Systems and Ways to Avoid Them

Linear Obstacles in Linear Systems and Ways to Avoid Them

Explore the intersection of topology and control theory in this 47-minute lecture from the Applied Algebraic Topology Network. Delve into the study of obstacle-avoiding directed paths, originally developed in theoretical computer science, and discover its applications in control theory. Learn how to describe the cohomology rings of these spaces in simple situations using classical homotopy limit tools. Gain insights into the topology of spaces formed by linear obstacles in linear systems and understand strategies to navigate around them.