This paper presents a method for generating shortest paths in cluttered environments, based on the Hamilton-Jacobi-Bellman (HJB) equation.
This paper solves the online obstacle avoidance problem using the Hamilton-Jacobi-Bellman (HJB) theory. Formulating the shortest path problem as a time ...
This paper presents a method for generating shortest paths in cluttered environments, based on the Hamilton-Jacobi-Bellman (HJB) equation.
Oct 13, 2024 · The purpose of the HJB equation is that it gives a globally optimal feedback law (when the value function is continuously differentiable) for ...
Missing: obstacle avoidance
Jan 9, 2024 · This article applies novel results for infinite- and finite-horizon optimal control problems with nonlinear dynamics and constraints.
We start by formulating the HJB equation in discrete time. Consider a finite-horizon optimal control problem, and define the value function as a function V(x, ...
Abstract. We present a method for determining optimal walking paths in steep terrain using the level set method and an optimal control formulation.
Oct 22, 2024 · Stability issues of an input constrained time optimal obstacle avoidance problem have been discussed using Hamilton-Jacobi-Bellman equations for ...
These algorithms work by computing an approximate solution to the Hamilton Jacobi. Bellman (HJB) Equation (a sufficient condition for deriving an optimal ...
Jul 1, 2016 · The form of the Hamilton-Jacobi equation is based on Bellman's optimality principle in discrete case [3]. The resolution of this Partial ...