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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
15482010
Discrete exterior calculus
M Desbrun, AN Hirani, M Leok, JE Marsden
arXiv preprint math/0508341, 2005
4112005
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
3782013
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
1592007
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
1592005
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
1582010
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
1372007
Global formulations of Lagrangian and Hamiltonian dynamics on manifolds
T Lee, M Leok, NH McClamroch
Springer 13, 31, 2017
1342017
Global optimal attitude estimation using uncertainty ellipsoids
AK Sanyal, T Lee, M Leok, NH McClamroch
Systems & Control Letters 57 (3), 236-245, 2008
1282008
Discrete Hamiltonian variational integrators
M Leok, J Zhang
IMA Journal of Numerical Analysis 31 (4), 1497-1532, 2011
1202011
Foundations of computational geometric mechanics
M Leok
California Institute of Technology, 2004
1102004
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
822008
Nonlinear dynamics of the 3D pendulum
NA Chaturvedi, T Lee, M Leok, NH McClamroch
Journal of Nonlinear Science 21 (1), 3-32, 2011
812011
Spectral variational integrators
J Hall, M Leok
Numerische Mathematik 130 (4), 681-740, 2015
792015
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
732009
Discrete routh reduction
SM Jalnapurkar, M Leok, JE Marsden, M West
Journal of Physics A: Mathematical and General 39 (19), 5521, 2006
702006
General techniques for constructing variational integrators
M Leok, T Shingel
Frontiers of Mathematics in China 7, 273-303, 2012
652012
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
632006
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
612009
Stable manifolds of saddle equilibria for pendulum dynamics on S2 and SO(3)
T Lee, M Leok, NH McClamroch
2011 50th IEEE conference on decision and control and European control …, 2011
572011
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