Melvin Leok

J. Nonlinear Sci., February, 2024

2023

Practical perspectives on symplectic accelerated optimization.

[BibT_eX]

[DOI]

Optim. Methods Softw., November, 2023

Type II Hamiltonian Lie Group Variational Integrators with Applications to Geometric Adjoint Sensitivity Analysis.

[BibT_eX]

[DOI]

CoRR, 2023

Lie Group Variational Collision Integrators for a Class of Hybrid Systems.

[BibT_eX]

[DOI]

Khoa Tran

CoRR, 2023

Safe Stabilizing Control for Polygonal Robots in Dynamic Elliptical Environments.

[BibT_eX]

[DOI]

CoRR, 2023

Simplifying Momentum-based Riemannian Submanifold Optimization.

[BibT_eX]

[DOI]

Mohammad Emtiyaz Khan

Mark Schmidt

CoRR, 2023

Lie Group Forced Variational Integrator Networks for Learning and Control of Robot Systems.

[BibT_eX]

[DOI]

Proceedings of the Learning for Dynamics and Control Conference, 2023

Simplifying Momentum-based Positive-definite Submanifold Optimization with Applications to Deep Learning.

[BibT_eX]

[DOI]

Mohammad Emtiyaz Khan

Mark Schmidt

Proceedings of the International Conference on Machine Learning, 2023

2022

A Variational Formulation of Accelerated Optimization on Riemannian Manifolds.

[BibT_eX]

[DOI]

SIAM J. Math. Data Sci., 2022

Safe Control Synthesis With Uncertain Dynamics and Constraints.

[BibT_eX]

[DOI]

IEEE Robotics Autom. Lett., 2022

Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators.

[BibT_eX]

[DOI]

J. Nonlinear Sci., 2022

Multisymplectic Hamiltonian variational integrators.

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2022

Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups.

[BibT_eX]

[DOI]

Álvaro Rodríguez Abella

CoRR, 2022

High-order symplectic Lie group methods on SO(n) using the polar decomposition.

[BibT_eX]

[DOI]

Xuefeng Shen

Khoa Tran

CoRR, 2022

2021

Adaptive Hamiltonian Variational Integrators and Applications to Symplectic Accelerated Optimization.

[BibT_eX]

[DOI]

Jeremy Schmitt

SIAM J. Sci. Comput., 2021

Variational Structures in Cochain Projection Based Variational Discretizations of Lagrangian PDEs.

[BibT_eX]

[DOI]

CoRR, 2021

Variational Symplectic Accelerated Optimization on Lie Groups.

[BibT_eX]

[DOI]

Molei Tao

Proceedings of the 2021 60th IEEE Conference on Decision and Control (CDC), 2021

2019

Geometric exponential integrators.

[BibT_eX]

[DOI]

Xuefeng Shen

J. Comput. Phys., 2019

Variational Discretizations of Gauge Field Theories Using Group-Equivariant Interpolation.

[BibT_eX]

[DOI]

Found. Comput. Math., 2019

2018

Embedding-Based Interpolation on the Special Orthogonal Group.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

High-Order Retractions on Matrix Manifolds Using Projected Polynomials.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2018

Interpolation on Symmetric Spaces Via the Generalized Polar Decomposition.

[BibT_eX]

[DOI]

Found. Comput. Math., 2018

2017

Iterative Computation of the Fréchet Derivative of the Polar Decomposition.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2017

Variational Integrators for Interconnected Lagrange-Dirac Systems.

[BibT_eX]

[DOI]

Helen Parks

J. Nonlinear Sci., 2017

Spectral-collocation variational integrators.

[BibT_eX]

[DOI]

Yiqun Li

Boying Wu

J. Comput. Phys., 2017

Spectral variational integrators for semi-discrete Hamiltonian wave equations.

[BibT_eX]

[DOI]

Yiqun Li

Boying Wu

J. Comput. Appl. Math., 2017

Lie Group Spectral Variational Integrators.

[BibT_eX]

[DOI]

James Hall

Found. Comput. Math., 2017

Connecting Information Geometry and Geometric Mechanics.

[BibT_eX]

[DOI]

Jun Zhang

Entropy, 2017

2015

Spectral variational integrators.

[BibT_eX]

[DOI]

James Hall

Numerische Mathematik, 2015

A novel variational formulation for thermoelastic problems.

[BibT_eX]

[DOI]

Zahra Ebrahimzadeh

Mojtaba Mahzoon

Commun. Nonlinear Sci. Numer. Simul., 2015

Global formulations of Lagrangian and Hamiltonian mechanics on two-spheres.

[BibT_eX]

[DOI]

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

2014

A Novel Formulation of Point Vortex Dynamics on the Sphere: Geometrical and Numerical Aspects.

[BibT_eX]

[DOI]

Joris Vankerschaver

J. Nonlinear Sci., 2014

2012

Hamel's formalism and variational integrators on a sphere.

[BibT_eX]

[DOI]

Dmitry V. Zenkov

Anthony M. Bloch

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Dynamics and control of a chain pendulum on a cart.

[BibT_eX]

[DOI]

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Nonlinear robust tracking control of a quadrotor UAV on SE(3).

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2012

2011

Discrete Hamilton-Jacobi Theory.

[BibT_eX]

[DOI]

Tomoki Ohsawa

Anthony M. Bloch

SIAM J. Control. Optim., 2011

Nonlinear Dynamics of the 3D Pendulum.

[BibT_eX]

[DOI]

J. Nonlinear Sci., 2011

Variational and Geometric Structures of Discrete Dirac Mechanics.

[BibT_eX]

[DOI]

Tomoki Ohsawa

Found. Comput. Math., 2011

Stable manifolds of saddle equilibria for pendulum dynamics on S<sup>2</sup> and SO(3).

[BibT_eX]

[DOI]

Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

Geometric numerical integration for complex dynamics of tethered spacecraft.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2011

2010

Control of Complex Maneuvers for a Quadrotor UAV using Geometric Methods on SE(3).

[BibT_eX]

[DOI]

CoRR, 2010

Stokes-Dirac structures through reduction of infinite-dimensional Dirac structures.

[BibT_eX]

[DOI]

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Discrete Hamilton-Jacobi theory and discrete optimal control.

[BibT_eX]

[DOI]

Tomoki Ohsawa

Anthony M. Bloch

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Geometric tracking control of a quadrotor UAV on SE(3).

[BibT_eX]

[DOI]

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Computational geometric optimal control of connected rigid bodies in a perfect fluid.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2010

2009

Discrete Control Systems.

[BibT_eX]

[DOI]

Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

Dynamics of a 3D elastic string pendulum.

[BibT_eX]

[DOI]

Proceedings of the 48th IEEE Conference on Decision and Control, 2009

Dynamics of connected rigid bodies in a perfect fluid.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2009

2008

Global optimal attitude estimation using uncertainty ellipsoids.

[BibT_eX]

[DOI]

Syst. Control. Lett., 2008

Computational Geometric Optimal Control of Rigid Bodies.

[BibT_eX]

[DOI]

Commun. Inf. Syst., 2008

Global symplectic uncertainty propagation on SO(3).

[BibT_eX]

[DOI]

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

Time optimal attitude control for a rigid body.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2008

2007

A combinatorial optimal control problem for spacecraft formation reconfiguration.

[BibT_eX]

[DOI]

Proceedings of the 46th IEEE Conference on Decision and Control, 2007

Propagation of uncertainty in rigid body attitude flows.

[BibT_eX]

[DOI]

Proceedings of the 46th IEEE Conference on Decision and Control, 2007

Optimal Attitude Control for a Rigid Body with Symmetry.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2007

Global Attitude Estimation using Single Direction Measurements.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2007

2006

Deterministic Global Attitude Estimation.

[BibT_eX]

[DOI]

Proceedings of the 45th IEEE Conference on Decision and Control, 2006

Optimal Control of a Rigid Body using Geometrically Exact Computations on SE(3).

[BibT_eX]

[DOI]

Proceedings of the 45th IEEE Conference on Decision and Control, 2006

A Discrete Variational Integrator for Optimal Control Problems on SO(3).

[BibT_eX]

[DOI]

Proceedings of the 45th IEEE Conference on Decision and Control, 2006

Controlled Lagrangians and Potential Shaping for Stabilization of Discrete Mechanical Systems.

[BibT_eX]

[DOI]

Proceedings of the 45th IEEE Conference on Decision and Control, 2006

Attitude maneuvers of a rigid spacecraft in a circular orbit.

[BibT_eX]

[DOI]