Hamilton–Jacobi equation

Fast Marching Methods for Stationary Hamilton–Jacobi Equations with Axis-Aligned Anisotropy

Ken Alton, Ian M. Mitchell

Citations: 38 • 2008

Exact and efficient Hamilton-Jacobi reachability for decoupled systems

Mo Chen, Claire J. Tomlin

Citations: 21 • 2015

ADP-Based $\mathcal {H}_{\boldsymbol{\infty }}$ Optimal Decoupled Control of Single-Wheel Robots With Physically Coupling Effects, Input Constraints, and Disturbances

Luy Nguyen Tan, Duc Lam Gia

Citations: 15 • 2023

Analytic nonlinear H/sub ∞/ optimal control for robotic manipulators

Jong-Hoon Park, Wan Kyun Chung, Y. Youm

Citations: 15 • 2002

Removing Leaking Corners to Reduce Dimensionality in Hamilton-Jacobi Reachability

Donggun Lee, Mo Chen, Claire J. Tomlin

Citations: 12 • 2019

On Safety and Liveness Filtering Using Hamilton–Jacobi Reachability Analysis

Javier Borquez, Kaustav Chakraborty, Hao Wang, Somil Bansal

Citations: 8 • 2024

Neural Networks Based Optimal Tracking Control of a Delta Robot With Unknown Dynamics

Akram Gholami, Jian‐Qiao Sun, Reza Ehsani

Citations: 6 • 2023

Energy-optimal trajectory generation for robot manipulators via Hamilton-Jacobi theory

Dijian Chen, Xiaodong Zhang

Citations: 5 • 2016

Iterative Method using the Generalized Hopf Formula: Avoiding Spatial Discretization for Computing Solutions of Hamilton-Jacobi Equations for Nonlinear Systems

Donggun Lee, Claire J. Tomlin

Citations: 5 • 2019

Control of stochastic unicycle-type robots

Shridhar K. Shah, Herbert G. Tanner

Citations: 4 • 2015

Exact and Efficient Hamilton-Jacobi Reachability for Decoupled Systems

Mo Chen, Claire J. Tomlin

Citations: 4 • 2015

Hamilton–Jacobi inequality robust neural network control of a mobile wheeled robot

Zenon Hendzel

Citations: 3 • 2018

A New Oren–Nayar Shape-from-Shading Approach for 3D Reconstruction Using High-Order Godunov-Based Scheme

Guohui Wang, Yuanbo Chu

Citations: 3 • 2018

Optimal control of a third order nonlinear system based on an inverse optimality method

Mehdi Abedinpour Fallah, Luís Rodrigues

Citations: 2 • 2011

Towards Online Risk Assessment for Human-Robot Interaction: A Data-Driven Hamilton-Jacobi-Isaacs Reachability Approach

Hailong Gong, Zirui Li, Chao Lü, Jianwei Gong

Citations: 2 • 2023

On Time-optimal Trajectories for a Car-like Robot with One Trailer

Hamidreza Chitsaz

Citations: 2 • 2013