Dr. Taeyoung Lee recently received two research grants. The Air Force Office of Scientific Research awarded him a three-year, $600,000 grant for the project “Uncertainty Quantification, Estimation, and Optimal Control for Stochastic Hybrid Systems on a Manifold.” The project aims to construct an intrinsic framework of stochastic analysis for complex dynamical systems undergoing both continuous stochastic processes and discrete random transitions on a manifold. The award includes a subcontract of $282,137 to his co-investigator, Dr. Leok (Department of Mathematics, University of California, San Diego). Separately, the National Science Foundation awarded Dr. Lee a three-year, $260,895 grant for his project “Dynamics and Control of Long Range Micro Air Vehicles Inspired by Monarch Butterflies.” The goal of this project is to study the biomechanics of the monarch butterfly—which exhibits the longest flight range among insects—and utilize them in the design and control of flapping-wing unmanned aerial vehicles.