Higher-order variational problems on Lie groups and optimal control applications L Colombo, DM de Diego Journal of Geometric Mechanics 6 (4), 451, 2014 | 55* | 2014 |
Optimal control of underactuated mechanical systems: A geometric approach L Colombo, D Martin De Diego, M Zuccalli Journal of Mathematical Physics 51 (8), 083519, 2010 | 45 | 2010 |
A geometric approach to the optimal control of nonholonomic mechanical systems A Bloch, L Colombo, R Gupta, DM Diego Analysis and geometry in control theory and its applications, 35-64, 2015 | 28 | 2015 |
Dynamic interpolation for obstacle avoidance on Riemannian manifolds A Bloch, M Camarinha, LJ Colombo International Journal of Control 94 (3), 588-600, 2021 | 23 | 2021 |
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 (6), 1615-1650, 2016 | 19 | 2016 |
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 | 17 | 2012 |
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 | 16 | 2019 |
Higher-order discrete variational problems with constraints L Colombo, D Martin de Diego, M Zuccalli Journal of Mathematical Physics 54 (9), 093507, 2013 | 16 | 2013 |
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 | 15 | 2017 |
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 | 13* | 2015 |
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 | 13 | 2014 |
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 | 12 | 2018 |
A Poincaré-Bendixson Theorem for Hybrid Systems W Clark, A Bloch, L Colombo Mathematical Control & Related Fields 10 (1), 27-45, 2020 | 11 | 2020 |
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 | 11 | 2018 |
Second-order constrained variational problems on Lie algebroids: applications to optimal control L Colombo Jornal of Geometric Mechanics 9 (1), 1-45, 2017 | 11 | 2017 |
Variational point-obstacle avoidance on Riemannian manifolds A Bloch, M Camarinha, L Colombo Mathematics of Control, Signals, and Systems 33, 109–121, 2021 | 10 | 2021 |
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 | 9 | 2020 |
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 | 9 | 2017 |
Unified formalism for the generalized kth-order Hamilton–Jacobi problem L Colombo, M De Leon, PD Prieto-Martínez, N Román-Roy International Journal of Geometric Methods in Modern Physics 11 (09), 1460037, 2014 | 9 | 2014 |
Symmetries and periodic orbits in simple hybrid Routhian systems LJ Colombo, MEE Irazú Nonlinear Analysis: Hybrid Systems 36, 100857, 2020 | 8 | 2020 |