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Melvin Leok

  1. General Techniques for Constructing Variational Integrators
    2011/02/14 by Melvin Leok, Tatiana Shingel, Leok, Melvin +1 · 3 citations
    Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations
  2. Nonlinear Robust Tracking Control of a Quadrotor UAV on SE(3)
    2011/09/21 by Taeyoung Lee, Melvin Leok, Lee, Taeyoung +3 · 2 citations
    Engineering · #Adaptive Control of Nonlinear Systems #Control and Dynamics of Mobile Robots #FOS: Electrical engineering #FOS: Mathematics #Guidance and Control Systems #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
  3. Adaptive Hamiltonian Variational Integrators and Symplectic Accelerated\n Optimization
    2017/09/06 by Valentin Duruisseaux, Duruisseaux, Valentin, Jérémy Schmitt +3 · 2 citations
    Mathematics · Biochemistry, Genetics and Molecular Biology · #Numerical methods for differential equations #Eicosanoids and Hypertension Pharmacology
  4. Simplifying Momentum-based Positive-definite Submanifold Optimization with Applications to Deep Learning
    2023/02/20 by Lin Wu, Lin, Wu, Valentin Duruisseaux +9 · 4 citations
    Engineering · Computer Science · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #Face recognition and analysis
  5. Generalized Galerkin Variational Integrators
    2005/08/18 by Melvin Leok, Leok, Melvin · 2 citations
    Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Fractional Differential Equations Solutions #Numerical Analysis (math.NA) #Numerical methods for differential equations
  6. A Discrete Theory of Connections on Principal Bundles
    2005/08/18 by Melvin Leok, Leok, Melvin, Jerrold E. Marsden +3 · 1 citation
    Computer Science · Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Matrix Theory and Algorithms #Numerical methods for differential equations #Polynomial and algebraic computation
  7. Global Optimal Attitude Estimation using Uncertainty Ellipsoids
    2006/06/04 by Amit K. Sanyal, Taeyoung Lee, Sanyal, Amit K. +5 · 1 citation
    Computer Science · Engineering · #Control Systems and Identification #FOS: Mathematics #Inertial Sensor and Navigation #Optimization and Control (math.OC) #Target Tracking and Data Fusion in Sensor Networks
  8. Global Formulations of Lagrangian and Hamiltonian Mechanics on\n Two-Spheres
    2015/03/09 by Taeyoung Lee, Melvin Leok, Lee, Taeyoung +3 · 1 citation
    Engineering · Physics and Astronomy · #Control and Dynamics of Mobile Robots #Quantum chaos and dynamical systems #Dynamics and Control of Mechanical Systems
  9. Safe Stabilizing Control for Polygonal Robots in Dynamic Elliptical Environments
    2023/09/30 by Kehan Long, Long, Kehan, Khoa Tran +5 · 1 citation
    Computer Science · Engineering · #FOS: Computer and information sciences #FOS: Mathematics #Optimization and Control (math.OC) #Robotic Locomotion and Control #Robotic Mechanisms and Dynamics #Robotic Path Planning Algorithms #Robotics (cs.RO)