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20172023
most citedRelaxing The Hamilton Jacobi Bellman Equation To Construct Inner And Outer Bounds On Reachable Sets

11 citations · 17 across the 14 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.OC2020★ 4 cited

Polynomial Approximation of Value Functions and Nonlinear Controller Design with Performance Bounds

Morgan Jones, Matthew M. Peet

For any suitable Optimal Control Problem (OCP) there exists a value function, defined as the unique viscosity solution to the Hamilton-Jacobi-Bellman (HJB) Partial-Differential-Equ…

math.OC2020

A Generalization of Bellman's Equation with Application to Path Planning, Obstacle Avoidance and Invariant Set Estimation

Morgan Jones, Matthew Peet

The standard Dynamic Programming (DP) formulation can be used to solve Multi-Stage Optimization Problems (MSOP's) with additively separable objective functions. In this paper we co…