Controlled Lagrangians and Stabilization of Euler--Poincaré Mechanical Systems with Broken Symmetry II: Potential Shaping

no code implementations • 5 Mar 2021 • César Contreras, Tomoki Ohsawa

The key idea behind the work is the use of representations of $\mathsf{G} \ltimes V$ and their associated advected parameters.

Optimization and Control 34H15, 37J15, 53D20, 70E17, 70H33, 70Q05, 93D05, 93D15

Variational Optimization on Lie Groups, with Examples of Leading (Generalized) Eigenvalue Problems

no code implementations • 27 Jan 2020 • Molei Tao, Tomoki Ohsawa

The article considers smooth optimization of functions on Lie groups.