M. Leok

Most-cited papers

Control of Complex Maneuvers for a Quadrotor UAV using Geometric Methods on SE(3)
Taeyoung Lee, M. Leok, N. McClamroch
2010arXiv.org149 citations
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Discrete Hamiltonian Variational Integrators
M. Leok, Jing-Jing Zhang
2010117 citations Open access
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Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds
Taeyoung Lee, M. Leok, N. McClamroch
2017107 citations Open access
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Spectral variational integrators
James Hall, M. Leok
2012Numerische Mathematik73 citations
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General techniques for constructing variational integrators
M. Leok, Tatiana Shingel
2011Frontiers of Mathematics in China70 citations
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Variational Integrators
M. Leok
201264 citations
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Geometric numerical integration for complex dynamics of tethered spacecraft
Taeyoung Lee, M. Leok, N. McClamroch
2010Proceedings of the 2011 American Control Conference49 citations Open access
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Geometric Tracking Control of a Quadrotor UAV for Extreme Maneuverability
Taeyoung Lee, M. Leok, N. McClamroch
201145 citations
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Discrete Hamilton-Jacobi Theory
T. Ohsawa, A. Bloch, M. Leok
2009SIAM Journal of Control and Optimization45 citations Open access
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Safe Control Synthesis With Uncertain Dynamics and Constraints
Kehan Long, Vikas Dhiman, M. Leok, J. Cortés +1 more
2022IEEE Robotics and Automation Letters42 citations Open access
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Stable manifolds of saddle equilibria for pendulum dynamics on S2 and SO(3)
Taeyoung Lee, M. Leok, N. McClamroch
2011IEEE Conference on Decision and Control and European Control Conference41 citations
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Variational and Geometric Structures of Discrete Dirac Mechanics
M. Leok, T. Ohsawa
2008Foundations of Computational Mathematics40 citations Open access
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Discrete Control Systems
Taeyoung Lee, M. Leok, N. McClamroch
2007Encyclopedia of Complexity and Systems Science39 citations Open access
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Symplectic semiclassical wave packet dynamics
T. Ohsawa, M. Leok
201338 citations Open access
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Discrete Hamilton-Jacobi theory and discrete optimal control
T. Ohsawa, A. Bloch, M. Leok
2010IEEE Conference on Decision and Control38 citations
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Global symplectic uncertainty propagation on SO(3)
Taeyoung Lee, M. Leok, N. McClamroch
2008IEEE Conference on Decision and Control33 citations Open access
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Geometric exponential integrators
Xu-Hui Shen, M. Leok
2017Journal of Computational Physics32 citations Open access
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A Novel Formulation of Point Vortex Dynamics on the Sphere: Geometrical and Numerical Aspects
J. Vankerschaver, M. Leok
2012Journal of nonlinear science32 citations Open access
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Prolongation-Collocation Variational Integrators
M. Leok, Tatiana Shingel
201132 citations Open access
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Hamilton-Jacobi Theory for Degenerate Lagrangian Systems with Holonomic and Nonholonomic Constraints
M. Leok, T. Ohsawa, D. Sosa
201129 citations Open access
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Lie Group Spectral Variational Integrators
James Hall, M. Leok
2014Foundations of Computational Mathematics28 citations
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Hamel's formalism and variational integrators on a sphere
D. Zenkov, M. Leok, A. Bloch
2012IEEE Conference on Decision and Control26 citations Open access
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A Variational Formulation of Accelerated Optimization on Riemannian Manifolds
Valentin Duruisseaux, M. Leok
2021SIAM Journal on Mathematics of Data Science24 citations Open access
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Connecting Information Geometry and Geometric Mechanics
M. Leok, Jun Zhang
2017Entropy24 citations Open access
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High-fidelity numerical simulation of complex dynamics of tethered spacecraft
Taeyoung Lee, M. Leok, N. McClamroch
201424 citations Open access
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Dynamics of connected rigid bodies in a perfect fluid
Taeyoung Lee, M. Leok, N. McClamroch
2008American Control Conference24 citations Open access
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Embedding-Based Interpolation on the Special Orthogonal Group
E. Gawlik, M. Leok
2016SIAM Journal on Scientific Computing23 citations Open access
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Lie Group Forced Variational Integrator Networks for Learning and Control of Robot Systems
Valentin Duruisseaux, Thai Duong, M. Leok, Nikolay A. Atanasov
2022Conference on Learning for Dynamics & Control21 citations Open access
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Dynamics and control of a chain pendulum on a cart
Taeyoung Lee, M. Leok, N. McClamroch
2012IEEE Conference on Decision and Control20 citations Open access
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Stokes-Dirac structures through reduction of infinite-dimensional Dirac structures
J. Vankerschaver, Hiroaki Yoshimura, M. Leok, J. Marsden
2010IEEE Conference on Decision and Control20 citations Open access
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Computational dynamics of a 3D elastic string pendulum attached to a rigid body and an inertially fixed reel mechanism
Taeyoung Lee, M. Leok, N. McClamroch
200920 citations Open access
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Computational Geometric Optimal Control of Rigid Bodies
Taeyoung Lee, M. Leok, N. McClamroch
2008Communications in Information and Systems20 citations Open access
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Adaptive Hamiltonian Variational Integrators and Applications to Symplectic Accelerated Optimization
Valentin Duruisseaux, J. Schmitt, M. Leok
2017SIAM Journal on Scientific Computing19 citations
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Generating functionals and Lagrangian partial differential equations
J. Vankerschaver, Cuicui Liao, M. Leok
201319 citations Open access
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Properties of Hamiltonian Variational Integrators
J. Schmitt, M. Leok
201618 citations Open access
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The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theoriesa)
J. Vankerschaver, Hiroaki Yoshimura, M. Leok
201218 citations Open access
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Discrete Dirac Structures and Implicit Discrete Lagrangian and Hamiltonian Systems
M. Leok, T. Ohsawa
201017 citations Open access
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Stable Manifolds of Saddle Points for Pendulum Dynamics on S^2 and SO(3)
Taeyoung Lee, M. Leok, N. McClamroch
201116 citations
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Dynamics of a 3D elastic string pendulum
Taeyoung Lee, M. Leok, N. McClamroch
2009IEEE Conference on Decision and Control16 citations Open access
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Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators
Valentin Duruisseaux, M. Leok
2021Journal of nonlinear science15 citations Open access
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Dirac Structures and Hamilton-Jacobi Theory for Lagrangian Mechanics on Lie Algebroids
M. Leok, D. Sosa
201215 citations Open access
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Simplifying Momentum-based Positive-definite Submanifold Optimization with Applications to Deep Learning
Wu Lin, Valentin Duruisseaux, M. Leok, F. Nielsen +2 more
2023International Conference on Machine Learning14 citations
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High-Order Retractions on Matrix Manifolds Using Projected Polynomials
E. Gawlik, M. Leok
2017SIAM Journal on Matrix Analysis and Applications14 citations Open access
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Interpolation on Symmetric Spaces Via the Generalized Polar Decomposition
E. Gawlik, M. Leok
2016Foundations of Computational Mathematics14 citations Open access
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On the geometry of multi-Dirac structures and Gerstenhaber algebras☆
J. Vankerschaver, Hiroaki Yoshimura, M. Leok
201114 citations Open access
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Iterative Computation of the Fréchet Derivative of the Polar Decomposition
E. Gawlik, M. Leok
2017SIAM Journal on Matrix Analysis and Applications13 citations
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Lagrangian and Hamiltonian Taylor variational integrators
J. Schmitt, Tatiana Shingel, M. Leok
2017BIT Numerical Mathematics12 citations Open access
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Lie group variational integrators for the full body problem in orbital mechanics
Taeyoung Lee, M. Leok, N. McClamroch
200712 citations
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Practical perspectives on symplectic accelerated optimization
Valentin Duruisseaux, M. Leok
2022Optim. Methods Softw.11 citations Open access
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Time-adaptive Lagrangian variational integrators for accelerated optimization
Valentin Duruisseaux, M. Leok
2022The Journal of Geometric Mechanics11 citations Open access
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