Geometry/Topology Seminar
Leonardo Colombo
Centre for Automation and Robotics CSIC-UPM
From Hamiltonian Systems to Drones: Geometric Insights into Control and Dynamics
Abstract: Hamiltonian systems have long been a cornerstone of classical mechanics, providing a powerful framework to describe and analyze the motion of physical systems. But what happens when these mathematical structures take flight? In this talk, we will explore how the geometric principles of Hamiltonian mechanics play a crucial role in the modeling and control of modern aerial vehicles, including drones. From symplectic structures and variational principles to optimal control and real-world applications, we will uncover the elegant mathematical tools that bridge fundamental physics with cutting-edge drone technology. Whether you're interested in geometry, control theory, or just fascinated by the math behind autonomous systems, this talk will offer a compelling journey from theory to application in the skies.
Monday May 12, 2025 at 2:00 PM in 636 SEO