18 citations · 20 across the 5 of their papers we have counts for
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math.OC2021
Variational Obstacle Avoidance with Applications to Interpolation Problems in Hybrid Systems
Jacob R. Goodman, Leonardo J. Colombo
We study variational obstacle avoidance problems on complete Riemannian manifolds and apply the results to the construction of piecewise smooth curves interpolating a set of knot p…
math.OC2021★ 18 cited
Geometric Control of two Quadrotors Carrying a Rigid Rod with Elastic Cables
Jacob R. Goodman, Leonardo J. Colombo
This paper presents the design of a geometric trajectory tracking controller for the cooperative task of two quadrotor UAVs (unmanned aerial vehicles) carrying and transporting a r…
math.OC2021★ 1 cited
Variational Collision Avoidance on Riemannian Manifolds
Jacob R. Goodman, Leonardo J. Colombo
This paper studies variational collision avoidance problems for multi-agents systems on complete Riemannian manifolds. That is, we minimize an energy functional, among a set of adm…