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Melvin Leok
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Geometric tracking control of a quadrotor UAV on SE (3)
T Lee, M Leok, NH McClamroch
49th IEEE conference on decision and control (CDC), 5420-5425, 2010
14472010
Discrete exterior calculus
M Desbrun, AN Hirani, M Leok, JE Marsden
arXiv preprint math/0508341, 2005
4052005
Nonlinear robust tracking control of a quadrotor UAV on SE (3)
T Lee, M Leok, NH McClamroch
Asian journal of control 15 (2), 391-408, 2013
3682013
A Lie group variational integrator for the attitude dynamics of a rigid body with applications to the 3D pendulum
T Lee, NH McClamroch, M Leok
Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005 …, 2005
1552005
Lie group variational integrators for the full body problem
T Lee, M Leok, NH McClamroch
Computer Methods in Applied Mechanics and Engineering 196 (29-30), 2907-2924, 2007
1502007
Control of complex maneuvers for a quadrotor UAV using geometric methods on SE (3)
T Lee, M Leok, NH McClamroch
arXiv preprint arXiv:1003.2005, 2010
1472010
Lie group variational integrators for the full body problem in orbital mechanics
T Lee, M Leok, NH McClamroch
Celestial Mechanics and Dynamical Astronomy 98, 121-144, 2007
1362007
Global formulations of Lagrangian and Hamiltonian dynamics on manifolds
T Lee, M Leok, NH McClamroch
Springer 13, 31, 2017
1262017
Global optimal attitude estimation using uncertainty ellipsoids
AK Sanyal, T Lee, M Leok, NH McClamroch
Systems & Control Letters 57 (3), 236-245, 2008
1262008
Discrete Hamiltonian variational integrators
M Leok, J Zhang
IMA Journal of Numerical Analysis 31 (4), 1497-1532, 2011
1142011
Foundations of computational geometric mechanics
M Leok
California Institute of Technology, 2004
1112004
Nonlinear dynamics of the 3D pendulum
NA Chaturvedi, T Lee, M Leok, NH McClamroch
Journal of Nonlinear Science 21 (1), 3-32, 2011
792011
Optimal attitude control of a rigid body using geometrically exact computations on SO (3)
T Lee, M Leok, NH McClamroch
Journal of Dynamical and Control Systems 14 (4), 465-487, 2008
792008
Spectral variational integrators
J Hall, M Leok
Numerische Mathematik 130 (4), 681-740, 2015
742015
Lagrangian mechanics and variational integrators on two‐spheres
T Lee, M Leok, NH McClamroch
International Journal for Numerical Methods in Engineering 79 (9), 1147-1174, 2009
722009
Discrete routh reduction
SM Jalnapurkar, M Leok, JE Marsden, M West
Journal of Physics A: Mathematical and General 39 (19), 5521, 2006
682006
General techniques for constructing variational integrators
M Leok, T Shingel
Frontiers of Mathematics in China 7, 273-303, 2012
642012
Optimal control of a rigid body using geometrically exact computations on SE (3)
T Lee, NH McClamroch, M Leok
Proceedings of the 45th IEEE Conference on Decision and Control, 2710-2715, 2006
612006
Geometric structure-preserving optimal control of a rigid body
AM Bloch, II Hussein, M Leok, AK Sanyal
Journal of Dynamical and Control Systems 15 (3), 307-330, 2009
602009
Geometric numerical integration for complex dynamics of tethered spacecraft
T Lee, M Leok, NH McClamroch
Proceedings of the 2011 American Control Conference, 1885-1891, 2011
552011
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