3 papers
math.NA2025
Feedback Integrators: Non-Asymptotic Invariance for One-Step Methods and Gain Selection under Euler Discretization
Juho Bae, Dong Eui Chang
For dynamical systems evolving on a manifold and admitting first integrals, standard one-step numerical methods generally cause the discrete trajectory to drift off the manifold an…
math.OC2018
Observer-Based Controller Design for Systems on Manifolds in Euclidean Space
Dong Eui Chang
A method of designing observers and observer-based tracking controllers is proposed for nonlinear systems on manifolds via embedding into Euclidean space and transversal stabilizat…
math.OC2017
Controller Design for Systems on Manifolds in Euclidean Space
Dong Eui Chang
Given a control system on a manifold that is embedded in Euclidean space, it is sometimes convenient to use a single global coordinate system in the ambient Euclidean space for con…