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Leonardo Colombo
Leonardo Colombo
Centre for Automation and Robotics CSIC-UPM
Verified email at car.upm-csic.es - Homepage
Title
Cited by
Cited by
Year
Higher-order variational problems on Lie groups and optimal control applications
L Colombo, DM de Diego
Journal of Geometric Mechanics 6 (4), 451-478, 2014
58*2014
Optimal control of underactuated mechanical systems: A geometric approach
L Colombo, D Martín De Diego, M Zuccalli
Journal of Mathematical Physics 51 (8), 2010
512010
Dynamic interpolation for obstacle avoidance on Riemannian manifolds
A Bloch, M Camarinha, LJ Colombo
International Journal of Control 94 (3), 588-600, 2021
402021
A geometric approach to the optimal control of nonholonomic mechanical systems
A Bloch, L Colombo, R Gupta, DM de Diego
Analysis and geometry in control theory and its applications, 35-64, 2015
332015
Geometric integrators for higher-order variational systems and their application to optimal control
L Colombo, S Ferraro, D Martín de Diego
Journal of Nonlinear Science 26, 1615-1650, 2016
292016
Variational obstacle avoidance problem on Riemannian manifolds
A Bloch, M Camarinha, L Colombo
Decision and Control (CDC), 2017 IEEE 56th Annual Conference on., 145-150, 2017
202017
Geometric Hamilton–Jacobi theory for higher-order autonomous systems
L Colombo, M De León, PD Prieto-Martínez, N Román-Roy
Journal of Physics A: Mathematical and Theoretical 47 (23), 235203, 2014
192014
Higher-order discrete variational problems with constraints
L Colombo, D Martín de Diego, M Zuccalli
Journal of Mathematical Physics 54 (9), 2013
192013
Discrete second-order Euler–Poincaré equations: applications to optimal control
L Colombo, F Jiménez, DM De Diego
international Journal of Geometric methods in modern physics 9 (04), 1250037, 2012
182012
Variational point-obstacle avoidance on Riemannian manifolds
A Bloch, M Camarinha, L Colombo
Mathematics of Control, Signals, and Systems 33, 109–121, 2021
172021
Motion feasibility conditions for multiagent control systems on Lie groups
LJ Colombo, DV Dimarogonas
IEEE Transactions on Control of Network Systems 7 (1), 493-502, 2019
172019
Variational collision avoidance problems on Riemannian manifolds
M Assif, R Banavar, A Bloch, M Camarinha, L Colombo
2018 IEEE conference on decision and control (CDC), 2791-2796, 2018
162018
Variational integrators for underactuated mechanical control systems with symmetries
L Colombo, F Jiménez, DM de Diego
Journal of Computational Dynamics 2 (2), 193-225, 2015
15*2015
A Variational Integrator for the distance-based formation control of multi-agent systems
LJ Colombo, HG de Marina
IFAC-PapersOnLine 51 (23), 76-81, 2018
142018
Variational collision and obstacle avoidance of multi-agent systems on Riemannian manifolds
RS Chandrasekaran, LJ Colombo, M Camarinha, R Banavar, A Bloch
2020 European Control Conference (ECC), 1689-1694, 2020
132020
A Poincaré-Bendixson Theorem for Hybrid Systems
W Clark, A Bloch, L Colombo
Mathematical Control & Related Fields 10 (1), 27-45, 2020
132020
Second-order constrained variational problems on Lie algebroids: applications to optimal control
L Colombo
Jornal of Geometric Mechanics 9 (1), 1-45, 2017
132017
Collision avoidance of multiagent systems on Riemannian manifolds
JR Goodman, LJ Colombo
SIAM Journal on Control and Optimization 60 (1), 168-188, 2022
12*2022
On the Existence and Uniqueness of Poincaré Maps for Systems with Impulse Effects
J Goodman, L Colombo
IEEE Transactions on Automatic Control 64 (4), 1815-1821, 2020
122020
Optimal control problems with symmetry breaking cost functions
AM Bloch, LJ Colombo, R Gupta, T Ohsawa
SIAM Journal on Applied Algebra and Geometry 1 (1), 626-646, 2017
122017
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