@article{BlHuLeSa2008,
Author = {{A. M.} Bloch and {I. I.} Hussein and M. Leok and {A. K.} Sanyal},
Title = {Geometric Structure-Preserving Optimal Control of the Rigid Body},
Journal={Journal of Dynamical and Control Systems},
Note = {(accepted, \href{http://arxiv.org/abs/0712.4400}{\tt arXiv:0712.4400 [math.OC]})},
Year = {2008},
}

@article{BlLeMaZe2005,
Author = {{A. M.} Bloch and M. Leok and {J. E.} Marsden and {D.V.} Zenkov},
Journal = {Proc. IEEE Conf. on Decision and Control},
Pages = {6579--6584},
Title = {Controlled {L}agrangians and Stabilization of the Discrete Cart-Pendulum System},
Year = {2005},
doi = {10.1109/CDC.2005.1583218},
}

@article{BlLeMaZe2006,
Author = {{A. M.} Bloch and M. Leok and {J. E.} Marsden and {D.V.} Zenkov},
Journal = {Proc. IEEE Conf. on Decision and Control},
pages = {3333-3338},
Note = {(invited paper)},
Title = {Controlled {L}agrangians and Potential Shaping for Stabilization of Discrete Mechanical Systems},
Year = {2006},
doi = {10.1109/CDC.2006.376695},
}

@article{BlLeMaZe2007,
Author = {{A. M.} Bloch and M. Leok and {J. E.} Marsden and {D.V.} Zenkov},
Title = {Matching and stabilization of discrete mechanical systems},
Journal = {Proc. Appl. Math. Mech.},
Volume = {7},
Pages = {1030603-1030604},
Year = {2007},
doi = {10.1002/pamm.200700390},
}

@article{BlLeMaZe2008,
Author = {{A. M.} Bloch and M. Leok and {J. E.} Marsden and {D.V.} Zenkov},
Title = {Controlled {L}agrangians and Stabilization of Discrete Mechanical Systems},
Journal = {Discrete and Continuous Dynamical Systems - Series S},
Note = {(accepted, \href{http://arxiv.org/abs/0704.3875}{\tt 
arXiv:0704.3875 [math.OC]})},
Year = {2009},
}

@article{ChLeLeMc2008,
Author = {{N. A.} Chaturvedi and T. Lee and  M. Leok and {N. H.} McClamroch},
Title = {Nonlinear Dynamics of the {3D} Pendulum},
Journal = {Journal of Nonlinear Science},
Note = {(submitted, \href{http://arxiv.org/abs/0707.1196}{\tt arXiv:0707.1196 [math.DS]})},
Year = {2008},
}

@unpublished{DeHiLeMa2003,
Author = {M. Desbrun and {A. N.} Hirani and M. Leok and {J. E.} Marsden},
Title = {Discrete Exterior Calculus},
Note = {(preprint, \href{http://arXiv.org/math.DG/0508341}{\tt arXiv:math.DG/0508341})},
Year = {2003},
}

@article{DeLeMa2005,
Author = {M. Desbrun and M. Leok and {J. E.} Marsden},
Fjournal = {Applied Numerical Mathematics},
Journal = {Appl. Numer. Math.},
Number = {2--4},
Pages = {231-248},
Title = {Discrete {P}oincar\'e Lemma},
Volume = {53},
Year = {2005},
doi = {10.1016/j.apnum.2004.09.035},
}

@article{FaLeLeMcSc2006,
Author = {{E. G.} Fahnestock and T. Lee and M. Leok and {N. H.} McClamroch and {D. J.} Scheeres},
Journal = {Proc. AIAA/AAS Astrodynamics Specialist Conf.},
Title = {Polyhedral Potential and Variational Integrator Computation of the Full Two Body Problem},
Volume = {AIAA-2006-6289},
Year = {2006},
url = {http://www.aiaa.org/agenda.cfm?lumeetingid=1305&formatview=1&dateget=22-Aug-06},
}

@article{HuLeSaBl2006,
Author = {{I. I.} Hussein and M. Leok and {A. K.} Sanyal and {A. M.} Bloch},
Journal = {Proc. IEEE Conf. on Design and Control},
Pages = {6636--6641},
Title = {A Discrete Variational Integrator for Optimal Control Problems in {$SO(3)$}},
Year = {2006},
doi = {10.1109/CDC.2006.377818},
}

@article{JaLeMaWe2006,
Author = {{S. M.} Jalnapurkar and M. Leok and {J. E.} Marsden and M. West},
Fjournal = {Journal of Physics A},
Journal = {J. Phys. A: Math. Gen.},
Pages = {5521--5544},
Title = {Discrete {R}outh Reduction},
Volume = {39},
Year = {2006},
doi = {10.1088/0305-4470/39/19/S12},
}

@article{Le1994,
Author = {M. Leok},
Title = {Estimating the Attractor Dimension of the Equatorial Weather System},
Journal = {Acta Phys. Pol. A},
Volume = {85},
Pages = {S27--S35},
Year = {1994},
}

@unpublished{Le2004,
Author = {M. Leok},
Eprint = {\texttt{arXiv:math.NA/0508360}},
Note = {(preprint, \href{http://arxiv.org/math.NA/0508360}{\tt arXiv:math.NA/0508360})},
Title = {Generalized {G}alerkin Variational Integrators: {L}ie group, multiscale, and pseudospectral methods},
Year = {2004},
}

@article{LeChSaLeMc2007,
Author = {T. Lee and {N. A.} Chaturvedi and {A. K.} Sanyal and M. Leok and {N. H.} McClamroch},
Journal = {Proc. IEEE Conf. on Decision and Control},
Title = {Propagation of Uncertainty Sets for Rigid Body Attitude Flows},
Pages = {2689--2694},
Year = {2007},
doi = {10.1109/CDC.2007.4434145},
}

@article{LeMcLe2005,
Author = {T. Lee and {N. H.} McClamroch and M. Leok},
Journal = {Proc. IEEE Conf. on Control Applications},
Pages = {962--967},
Title = {A {L}ie Group Variational Integrator for the Attitude Dynamics of a Rigid Body with Applications to the {3D} Pendulum},
Year = {2005},
doi = {10.1109/CCA.2005.1507254},
}

@article{LeMcLe2006a,
Author = {T. Lee and {N. H.} McClamroch and M. Leok},
Journal = {Proc. American Control Conf.},
Pages = {1742--1747},
Title = {Attitude Maneuvers of a Rigid Spacecraft in a Circular Orbit},
Year = {2006},
doi = {10.1109/ACC.2006.1656471},
}

@article{LeMcLe2006b,
Author = {T. Lee and {N. H.} McClamroch and M. Leok},
Journal = {Proc. IEEE Conf. on Decision and Control},
pages = {2710--2715},
Title = {Optimal Control of a Rigid Body using Geometrically Exact Computations on {SE(3)}},
Year = {2006},
doi = {10.1109/CDC.2006.376687},
}

@article{LeMcLe2007,
Author = {T. Lee and {N. H.} McClamroch and M. Leok},
Journal = {Proc. American Control Conf.},
Title = {Optimal Attitude Control for a Rigid Body with Symmetry},
Year = {2007},
Pages = {1073--1078},
doi = {10.1109/ACC.2007.4282362},
}

@article{LeLeMc2007a,
Author = {T. Lee and M. Leok and {N. H.} McClamroch},
Journal = {Comput. Methods Appl. Mech. Engrg.},
Volume = {196},
Number = {29-30},
Pages = {2907--2924},
Title = {{L}ie Group Variational Integrators for the Full Body Problem},
Year = {2007},
doi = {10.1016/j.cma.2007.01.017},
}

@article{LeLeMc2007b,
Author = {T. Lee and M. Leok and {N. H.} McClamroch},
Journal = {Celestial Mechanics and Dynamical Astronomy},
Title = {{L}ie Group Variational Integrators for the Full Body Problem in Orbital Mechanics},
Year = {2007},
Volume = {98},
Number = {2},
Pages = {121--144},
doi = {10.1007/s10569-007-9073-x},
}

@article{LeLeMc2007c,
Author = {T. Lee and M. Leok and {N. H.} McClamroch},
Journal = {Proc. IEEE Conf. on Decision and Control},
Title = {A Combinatorial Optimization Problem for Spacecraft Formation Reconfiguration},
Pages = {5370--5375},
Year = {2007},
doi = {10.1109/CDC.2007.4434143},
}

@article{LeLeMc2007d,
Author={T. Lee and M. Leok and {N. H.} McClamroch},
Journal={Springer Encyclopedia of Complexity and Systems Science},
Year={2007},
Title={Discrete Control Systems},
Note={(invited article, in press, \href{http://arxiv.org/abs/0704.3868}{\tt arXiv:0704.3868 [math.OC]})},
}

@article{LeLeMc2008a,
Author = {T. Lee and M. Leok and {N. H.} McClamroch},
Journal = {Journal of Dynamical and Control Systems},
Title = {Optimal Attitude Control of a Rigid Body using Geometrically Exact Computations on {SO(3)}},
Year = {2008},
Volume = {14},
Pages = {465--487},
Number = {4},
doi = {10.1007/s10883-008-9047-7},
}

@article{LeLeMc2008b,
Author = {T. Lee and M. Leok and {N. H.} McClamroch},
Title = {Time Optimal Attitude Control for a Rigid Body},
Journal = {Proc. American Control Conf.},
Pages = {5210--5215},
Year = {2008},
doi = {10.1109/ACC.2008.4587322},
}

@article{LeLeMc2008c,
Author= {T. Lee and M. Leok and {N. H.} McClamroch},
Title={Global Symplectic Uncertainty Propagation on {$SO(3)$}},
Journal={Proc. IEEE Conf. on Decision and Control},
Pages={61-66},
Year={2008},
}

@article{LeLeMc2008d,
Author= {T. Lee and M. Leok and {N. H.} McClamroch},
Title={Computational Geometric Optimal Control of Rigid Bodies},
Journal={Communications in Information and Systems},
Year={2008},
Note={(accepted, \href{http://arxiv.org/abs/0805.0639}{\tt arXiv:0805.0639 
[math.OC]}},
}

@article{LeLeMc2009a,
Author = {T. Lee and M. Leok and {N. H.} McClamroch},
Title = {Dynamics of Connected Rigid Bodies in a Perfect Fluid},
Journal = {Proc. American Control Conf.},
Note = {(accepted, \href{http://arxiv.org/abs/0809.1488}{\tt 
arXiv:0809.1488 [math.NA]})},
Year = {2009},
}

@article{LeLeMc2009b,
Author = {T. Lee and M. Leok and {N. H.} McClamroch},
Title = {Lagrangian Mechanics and Variational Integrators on Two-Spheres},
Journal = {International Journal for Numerical Methods in Engineering},
Note = {(accepted, 
\href{http://arxiv.org/abs/0707.0022}{\tt arXiv:0707.0022 [math.NA]})},
Year = {2009},
}

@article{LeLeMc2009c,
Author = {T. Lee and M. Leok and {N. H.} McClamroch},
Title = {Dynamics of a 3D Elastic String Pendulum},
Journal = {Proc. IEEE Conf. on Decision and Control},
Note = {(submitted, \href{http://arxiv.org/abs/0903.0332}{\tt 
arXiv:0903.0332 [math.NA]})},
Year = {2009},
}

@article{LeLeMc2009d,
Author = {T. Lee and M. Leok and {N. H.} McClamroch},
Title = {Computational Dynamics of a 3D Elastic String Pendulum Attached 
to a Rigid Body and an Inertially Fixed Reel Mechanism},
Journal = {Nonlinear Dynamics},
Note = {(submitted, \href{http://arxiv.org/abs/0909.2083}{\tt 
arXiv:0909.2083 [math.DS]})},
Year = {2009},
}

@article{LeLeMcSa2007,
Author = {T. Lee and M. Leok and {N. H.} McClamroch and {A. K.} Sanyal},
Journal = {Proc. American Control Conf.},
Title = {Global Attitude Estimation using Single Direction Measurements},
Year = {2007},
Pages = {3659--3664},
doi = {10.1109/ACC.2007.4282363},
}

@unpublished{LeMaWe2004,
Author = {M. Leok and {J. E.} Marsden and A. Weinstein},
Title = {A Discrete Theory of Connections on Principal Bundles},
Eprint = {\texttt{arXiv:math.DG/0508338}},
Note = {(preprint, \href{http://arxiv.org/math.DG/0508338}{\tt arXiv:math.DG/0508338})},
Year = {2004},
}

@article{LeOh2008,
Author={M. Leok and T. Ohsawa},
Title={Discrete {D}irac Structures and Variational Discrete {D}irac Mechanics},
Journal={Foundations of Computational Mathematics},
Note={(submitted, \href{http://arxiv.org/abs/0810.0740}{\tt arXiv:0810.0740 [math.SG]})},
Year={2008},
}

@article{LeSaMcLe2006,
Author = {T. Lee and {A. K.} Sanyal and M. Leok and {N. H.} McClamroch},
Journal = {Proc. IEEE Conf. on Decision and Control},
pages = {3174--3179},
Title = {Deterministic Global Attitude Estimation},
Year = {2006},
doi = {10.1109/CDC.2006.376688},
}

@article{LeSaLeMc2008,
Author = {T. Lee and {A. K.} Sanyal and M. Leok and {N. H.} McClamroch},
Journal = {Systems and Control Letters},
volume = {57},
Number = {3},
Pages = {236--245},
Title = {Global Optimal Attitude Estimation using Uncertainty Ellipsoids},
Year = {2008},
doi = {10.1016/j.sysconle.2007.08.014},
}

@article{LeLeMc2009c,
Author = {T. Lee and M. Leok and {N. H.} McClamroch},
Title = {Dynamics of a 3D Elastic String Pendulum},             
Journal = {Proc. IEEE Conf. on Decision and Control},
Note = {(submitted, \href{http://arxiv.org/abs/0903.0332}{\tt arXiv:0903.0332 [math.NA]})},
Year = {2009},
}

@article{LeLeMc2009d,
Author = {T. Lee and M. Leok and {N. H.} McClamroch},
Title = {Computational Geometric Optimal Control of Connected Rigid 
Bodies in a Perfect Fluid},
Journal = {Proc. American Control Conf.},
Note = {(submitted, \href{http://arxiv.org/abs/0909.3871}{\tt arXiv:0909.3871 [math.OC]})},
Year = {2009},
}

@article{OhBlLe2009,
Author={T. Ohsawa and {A.M.} Bloch and M. Leok},
Title={Discrete {H}amilton--{J}acobi Theory},
Journal={SIAM Journal on Control and Optimization},
Note={(submitted, \href{http://arxiv.org/abs/0911.2258}{\tt arXiv:0911.2258 [math.OC]})},
Year={2008},
}