Reduction of lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations
DOI10.1051/cocv/2022051zbMath1497.49024arXiv2108.04905OpenAlexW3190824213WikidataQ114011428 ScholiaQ114011428MaRDI QIDQ5097301
Publication date: 23 August 2022
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.04905
nonsmooth analysisHamilton-Jacobi equationsviscosity solutionsconvex analysisoptimal control theoryset-valued analysis
Dynamic programming in optimal control and differential games (49L20) Nonsmooth analysis (49J52) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) PDEs in connection with control and optimization (35Q93) Hamilton-Jacobi equations in optimal control and differential games (49L12)
Cites Work
- Unnamed Item
- Unnamed Item
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- On nonuniqueness of solutions of Hamilton-Jacobi-Bellman equations
- Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations
- Existence theorems for general control problems of Bolza and Lagrange
- Measurable viability theorems and the Hamilton-Jacobi-Bellman equation
- On representation formulas for Hamilton Jacobi's equations related to calculus of variations problems
- Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints
- Representation of Hamilton-Jacobi equation in optimal control theory with unbounded control set
- An initial condition reconstruction in Hamilton-Jacobi equations
- Hamilton-Jacobi-Bellman equations with fast gradient-dependence
- A generalization of a theorem of Barron and Jensen and a comparison theorem for lower semicontinuous viscosity solutions
- Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians
- Optimal Control and Semicontinuous Viscosity Solutions
- Variational Analysis
- Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities
- Extended Hamilton--Jacobi Characterization of Value Functions in Optimal Control
- Representation of Hamilton--Jacobi Equation in Optimal Control Theory with Compact Control Set
- Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
- Optimal Arcs and the Minimum Value Function in Problems of Lagrange
- Viscosity Solutions of Hamilton--Jacobi--Bellman--Isaacs Equations for Time-Delay Systems
- Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints
- Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: a guided visit
- The Hamilton Jacobi Equation For Optimal Control Problems with Discontinuous Time Dependence
- Recovering a Function from a Dini Derivative
- The value function representing Hamilton–Jacobi equation with Hamiltonian depending on value of solution
- Set-valued analysis
- Viability theory
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
