@article{BlHuLeSa2009,
	Author = {{A. M.} Bloch and {I. I.} Hussein and M. Leok and {A. K.} Sanyal},
	Journal = {Journal of Dynamical and Control Systems},
	Number = {3},
	Pages = {307--330},
	Title = {Geometric Structure-Preserving Optimal Control of the Rigid Body},
	Volume = {15},
	Year = {2009},
	doi={10.1007/s10883-009-9071-2},
}

@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{BlLeMaZe2010,
	Author = {{A. M.} Bloch and M. Leok and {J. E.} Marsden and {D. V.} Zenkov},
	Date-Modified = {2009-09-17 10:22:59 -0700},
	Journal = {Discrete and Continuous Dynamical Systems - Series S},
	Title = {Controlled {L}agrangians and Stabilization of Discrete Mechanical Systems},
	volume={3},
	number={1},
	pages={19--36},
	Year = {2010},
	doi={10.3934/dcdss.2010.3.19},
}

@article{ChLeLeMc2011,
	Author = {{N. A.} Chaturvedi and T. Lee and M. Leok and {N. H.} McClamroch},
	Journal = {Journal of Nonlinear Science},
	volume={21},
	number={1},
	pages={3--32},
	Title = {Nonlinear Dynamics of the {3D} Pendulum},
	Year = {2011},
	doi={10.1007/s00332-010-9078-6},
}

@unpublished{DeHiLeMa2003,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{Le2011,
	author={M. Leok},
	title={Variational Integrators},
	note={(submitted, invited article)},
	journal={Springer Encyclopedia of Applied and Computational Mathematics},
	year={2011},
}

@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{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{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},
	doi={10.1109/CDC.2008.4739058},
}

@article{LeLeMc2008d,
	Author = {T. Lee and M. Leok and {N. H.} McClamroch},
	Journal = {Communications in Information and Systems},
	Number = {4},
	Pages = {445--472},
	Title = {Computational Geometric Optimal Control of Rigid Bodies},
	Volume = {8},
	Year = {2008},
}

@article{LeLeMc2009a,
	Author = {T. Lee and M. Leok and {N. H.} McClamroch},
	Journal = {Proc. American Control Conf.},
	Pages = {408--413},
	Title = {Dynamics of Connected Rigid Bodies in a Perfect Fluid},
	Year = {2009},
	doi={10.1109/ACC.2009.5159850},
}

@article{LeLeMc2009b,
	Author = {T. Lee and M. Leok and {N. H.} McClamroch},
	Journal = {International Journal for Numerical Methods in Engineering},
	Number = {9},
	Pages = {1147--1174},
	Title = {Lagrangian Mechanics and Variational Integrators on Two-Spheres},
	Volume = {79},
	Year = {2009},
	doi={10.1002/nme.2603}
}

@article{LeLeMc2009c,
	Author = {T. Lee and M. Leok and {N. H.} McClamroch},
	Journal = {Proc. IEEE Conf. on Decision and Control},
	Title = {Dynamics of a {3D} Elastic String Pendulum},
	pages={3347--3352},
	Year = {2009},
	doi={10.1109/CDC.2009.5399611},
}
	
@article{LeLeMc2009d,
	Author = {T. Lee and M. Leok and {N. H.} McClamroch},
	Journal = {Springer Encyclopedia of Complexity and Systems Science},
	Note = {(invited article)},
	Title = {Discrete Control Systems},
	pages={2002--2019},
	Year = {2009},
	doi={10.1007/978-0-387-30440-3_126}
}

@article{LeLeMc2010a,
	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.},
	pages={5985--5990},
	Year = {2010},
}

@article{LeLeMc2010b,
	Author = {T. Lee and M. Leok and {N. H.} McClamroch},
	Title = {Geometric Tracking Control of a Quadrotor {UAV} on {$SE(3)$}},
	Journal = {Proc. IEEE Conf. on Decision and Control},
	pages={5420--5425},
	Year = {2010},
	doi={10.1109/CDC.2010.5717652},
}

@article{LeLeMc2011a,
	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},
	volume={64},
	number={1-2},
	pages={97--115},
	Year = {2011},
	doi={10.1007/s11071-010-9849-5},
}

@article{LeLeMc2011b,
	Author = {T. Lee and M. Leok and {N. H.} McClamroch},
	Title={Geometric Numerical Integration of Complex Dynamics of Tethered Spacecraft},
	Journal = {Proc. American Control Conf.},
	pages={1885--1891},
	year={2011},
}

@article{LeLeMc2011c,
	Author = {T. Lee and M. Leok and {N. H.} McClamroch},
	Title = {Stable Manifolds of Saddle Points for Pendulum Dynamics on {$S^2$} and {$SO(3)$}},
	Journal = {Proc. IEEE Conf. on Decision and Control},
	note={(accepted, \href{http://arxiv.org/abs/1103.2822}{\tt arXiv:1103.2822 [math.DS]})},
	Year = {2011},
}

@article{LeLeMc2011d,
	Author = {T. Lee and M. Leok and {N. H.} McClamroch},
	title={Control of Complex Maneuvers for a Quadrotor {UAV} using Geometric Methods on {$SE(3)$}},
	journal={Asian Journal of Control},
	note={(submitted)},
	year={2011},
}

@article{LeLeMc2011e,
	Author = {T. Lee and M. Leok and {N. H.} McClamroch},
	title={Nonlinear Robust Tracking Control of a Quadrotor {UAV} on {$SE(3)$}},
	journal={Proc. American Control Conf.},
	note={(submitted)},
	year={2011},
}

@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{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{LeOh2010,
	author = {M. Leok and T. Ohsawa},
	title = {Discrete {D}irac Structures and Implicit Discrete {L}agrangian and {H}amiltonian Systems},
	publisher = {AIP},
	year = {2010},
	journal = {AIP Conference Proceedings},
	volume = {1260},
	number = {1},
	pages = {91-102},
	doi={10.1063/1.3479325},
}

@article{LeOh2011,
	author={M. Leok and T. Ohsawa},
	journal={Foundations of Computational Mathematics},
	title={Variational and Geometric Structures of Discrete {D}irac Mechanics},
	year={2011},
	volume={11},
	number={5},
	pages={529--562},
	doi={10.1007/s10208-011-9096-2},
}

@article{LeOhSo2011,
	author={M. Leok and T. Ohsawa and D. Sosa},
	title={Hamilton--{J}acobi Theory for Degenerate {L}agrangian Systems with Holonomic and Nonholonomic Constraints},
	journal={Journal of Mathematical Physics},
	note={(submitted, \href{http://arxiv.org/abs/1109.6056}{\tt arXiv:1109.6056 [math-ph]})},
	year={2011},
}

@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{LeSh2011a,
	author={M. Leok and T. Shingel},
	journal={IMA Journal of Numerical Analysis},
	title={Prolongation--Collocation Variational Integrators},
	note={(accepted, \href{http://arxiv.org/abs/1101.1995}{\tt arXiv:1101.1995 [math.NA]})},
	year={2011},
}

@article{LeSh2011b,
	author={M. Leok and T. Shingel},
	journal={Frontiers of Mathematics in China},
	title={General Techniques for Constructing Variational Integrators},
	note={(submitted, Special issue on computational mathematics, invited paper, \href{http://arxiv.org/abs/1102.2685}{\tt arXiv:102.2685 [math.NA]})},
	year={2011},
}

@article{LeZh2011,
	Author={M. Leok and J. Zhang},
	Title={Discrete {H}amiltonian Variational Integrators},
	Journal={IMA Journal of Numerical Analysis},
	volume={31},
	number={4},
	pages={1497--1532},
	Year={2011},
	doi={10.1093/imanum/drq027},
}

@article{OhBlLe2010,
	Author = {T. Ohsawa and {A. M.} Bloch and M. Leok},
	Title = {Discrete {H}amilton--{J}acobi Theory and Discrete Optimal Control},
	Journal = {Proc. IEEE Conf. on Decision and Control},
	pages={5438--5443},
	Year = {2010},
	doi={10.1109/CDC.2010.5717665},
}

@article{OhBlLe2011,
	Author={T. Ohsawa and {A.M.} Bloch and M. Leok},
	Title={Discrete {H}amilton--{J}acobi Theory},
	Journal={SIAM Journal on Control and Optimization},
	volume={49},
	number={4},
	pages={1829--1856},
	Year={2011},
	doi={10.1137/090776822},
}

@article{VaLiLe2011,
	author={J. Vankerschaver and C. Liao and M. Leok},
	journal={Journal of Nonlinear Science},
	title={Generating Functionals and {L}agrangian {PDE}s},
	note={(submitted, Marsden memorial issue, invited paper, \href{http://arxiv.org/abs/1111.0280}{\tt arXiv:1111.0280})},
	year={2011},
}

@article{VaYoLe2010,
	author={J. Vankerschaver and H. Yoshimura and M. Leok},
	Journal = {Proc. IEEE Conf. on Decision and Control},
	title={Stokes-{D}irac Structures through Reduction of Infinite-Dimensional {D}irac Structures},
	pages={6265--6270},
	year={2010},
	doi={10.1109/CDC.2010.5717698},
}

@article{VaYoLe2011,
	author={J. Vankerschaver and H. Yoshimura and M. Leok},
	journal={Journal of Geometry and Physics},
	title={On the Geometry of Multi-{D}irac Structures and {G}erstenhaber Algebras},
	volume={61},
	number={8},
	pages={1415--1425},
	year={2011},
	doi={10.1016/j.geomphys.2011.03.005},
}

@article{VaYoLeMa2011,
	author={J. Vankerschaver and H. Yoshimura and M. Leok and {J. E.} Marsden},
	title={The {H}amilton--{P}ontryagin Principle and Multi-{D}irac Structures for Classical Field Theories},
	journal={Journal of Mathematical Physics},
	note={(submitted)},
	year={2011},
}