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AFOSR Supports Stochastic Hybrid Systems on Manifolds

Taeyoung Lee
Written by Taeyoung Lee
Research context: a later example of probability propagation through pendulum collisions, illustrating continuous motion and discrete resets on a Lie group.
Research context: a later example of probability propagation through pendulum collisions, illustrating continuous motion and discrete resets on a Lie group.

FDCL received an Air Force Office of Scientific Research grant for “Uncertainty Quantification, Estimation, and Optimal Control for Stochastic Hybrid Systems on a Manifold.”

In collaboration with the Department of Mathematics at the University of California San Diego, the project aims to build an intrinsic framework for systems that combine continuous stochastic evolution with discrete random transitions. This mathematical setting captures uncertainty while respecting the geometry of the state space.

Research context: probability density for a bouncing-ball hybrid system
Research context: probability density for a bouncing-ball hybrid system. These figures illustrate the research topic rather than the 2018 award event.

Original FDCL announcement — May 23, 2018

Taeyoung Lee
Written by

Taeyoung Lee

Taeyoung Lee is a professor in the Department of Mechanical and Aerospace Engineering at The George Washington University, with a courtesy appointment in Computer Science. He directs the Flight Dynamics and Control Laboratory and joined GW in 2011 after serving on the faculty at the Florida Institute of Technology. He earned his Ph.D. in Aerospace Engineering and M.S. in Mathematics from the University of Michigan in 2008.