36 citations · 210 across the 58 of their papers we have counts for
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Variational obstacle avoidance problem on Riemannian manifolds
Anthony Bloch, Margarida Camarinha, Leonardo Colombo
We introduce variational obstacle avoidance problems on Riemannian manifolds and derive necessary conditions for the existence of their normal extremals. The problem consists of mi…
Optimal Control of Quantum Purity for Systems
William Clark, Anthony Bloch, Leonardo Colombo +1
The objective of this work is to study time-minimum and energy-minimum global optimal control for dissipative open quantum systems whose dynamics is governed by the Lindblad equati…
A variational-geometric approach for the optimal control of nonholonomic systems
Leonardo Colombo
Necessary conditions for existence of normal extremals in optimal control of systems subject to nonholonomic constraints are derived as solutions of a constrained second order vari…
Optimal Control Problems with Symmetry Breaking Cost Functions
Anthony Bloch, Leonardo Colombo, Rohit Gupta +1
We investigate symmetry reduction of optimal control problems for left-invariant control systems on Lie groups, with partial symmetry breaking cost functions. Our approach emphasiz…
Second-order constrained variational problems on Lie algebroids: applications to optimal control
Leonardo Colombo
The aim of this work is to study, from an intrinsic and geometric point of view, second-order constrained variational problems on Lie algebroids, that is, optimization problems def…