MOST CITED SCHOLAR PUBLICATIONS
- Higher-order variational problems on Lie groups and optimal control applicationsL Colombo, DM de DiegoJournal of Geometric Mechanics 6 (4), 451-478 2014Citations: 58
- Optimal control of underactuated mechanical systems: A geometric approachL Colombo, D Martn De Diego, M ZuccalliJournal of Mathematical Physics 51 (8) 2010Citations: 52
- Dynamic interpolation for obstacle avoidance on Riemannian manifoldsA Bloch, M Camarinha, LJ ColomboInternational Journal of Control 94 (3), 588-600 2021Citations: 42
- A geometric approach to the optimal control of nonholonomic mechanical systemsA Bloch, L Colombo, R Gupta, DM de DiegoAnalysis and geometry in control theory and its applications, 35-64 2015Citations: 35
- Geometric integrators for higher-order variational systems and their application to optimal controlL Colombo, S Ferraro, D Martin de DiegoJournal of Nonlinear Science 26, 1615-1650 2016Citations: 32
- Variational obstacle avoidance problem on Riemannian manifoldsA Bloch, M Camarinha, L ColomboDecision and Control (CDC), 2017 IEEE 56th Annual Conference on., 145-150 2017Citations: 23
- Geometric Hamilton–Jacobi theory for higher-order autonomous systemsL Colombo, M De Len, PD Prieto-Martnez, N Romn-RoyJournal of Physics A: Mathematical and Theoretical 47 (23), 235203 2014Citations: 19
- Higher-order discrete variational problems with constraintsL Colombo, D Martn de Diego, M ZuccalliJournal of Mathematical Physics 54 (9) 2013Citations: 19
- Variational point-obstacle avoidance on Riemannian manifoldsA Bloch, M Camarinha, L ColomboMathematics of Control, Signals, and Systems 33, 109–121 2021Citations: 18
- Motion feasibility conditions for multiagent control systems on Lie groupsLJ Colombo, DV DimarogonasIEEE Transactions on Control of Network Systems 7 (1), 493-502 2019Citations: 18
- Discrete second-order Euler–Poincar equations: applications to optimal controlL Colombo, F Jimnez, DM De Diegointernational Journal of Geometric methods in modern physics 9 (04), 1250037 2012Citations: 18
- Variational collision avoidance problems on Riemannian manifoldsM Assif, R Banavar, A Bloch, M Camarinha, L Colombo2018 IEEE conference on decision and control (CDC), 2791-2796 2018Citations: 17
- A Poincar-Bendixson Theorem for Hybrid SystemsW Clark, A Bloch, L ColomboMathematical Control & Related Fields 10 (1), 27-45 2020Citations: 15
- Variational integrators for underactuated mechanical control systems with symmetriesL Colombo, F Jimnez, DM de DiegoJournal of Computational Dynamics 2 (2), 193-225 2015Citations: 15
- Variational collision and obstacle avoidance of multi-agent systems on Riemannian manifoldsRS Chandrasekaran, LJ Colombo, M Camarinha, R Banavar, A Bloch2020 European Control Conference (ECC), 1689-1694 2020Citations: 14
- On the Existence and Uniqueness of Poincar Maps for Systems with Impulse EffectsJ Goodman, L ColomboIEEE Transactions on Automatic Control 64 (4), 1815-1821 2020Citations: 14
- A variational integrator for the distance-based formation control of multi-agent systemsLJ Colombo, HG de MarinaIFAC-PapersOnLine 51 (23), 76-81 2018Citations: 14
- Second-order constrained variational problems on Lie algebroids: applications to optimal controlL ColomboJornal of Geometric Mechanics 9 (1), 1-45 2017Citations: 14
- Collision avoidance of multiagent systems on Riemannian manifoldsJR Goodman, LJ ColomboSIAM Journal on Control and Optimization 60 (1), 168-188 2022Citations: 13
- Symmetries and periodic orbits in simple hybrid Routhian systemsLJ Colombo, MEE IrazNonlinear Analysis: Hybrid Systems 36, 100857 2020Citations: 13