Hamilton–Jacobi equations for optimal control on junctions and networks
From MaRDI portal
Publication:5262300
DOI10.1051/cocv/2014054zbMath1318.49049OpenAlexW2082101743MaRDI QIDQ5262300
Salomé Oudet, Nicoletta Tchou, Yves Achdou
Publication date: 13 July 2015
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2014054
Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)
Related Items (15)
Effective transmission conditions for Hamilton-Jacobi equations defined on two domains separated by an oscillatory interface ⋮ Quasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional case ⋮ Hamilton-Jacobi equations for optimal control on multidimensional junctions with entry costs ⋮ Discontinuous solutions of Hamilton-Jacobi equations on networks ⋮ Homogenization of some periodic Hamilton-Jacobi equations with defects ⋮ Hamilton-Jacobi equations for optimal control on networks with entry or exit costs ⋮ Microscopic derivation of a traffic flow model with a bifurcation ⋮ Finite horizon mean field games on networks ⋮ Convergence \& rates for Hamilton-Jacobi equations with Kirchoff junction conditions ⋮ A piecewise deterministic Markov toy model for traffic/maintenance and associated Hamilton-Jacobi integrodifferential systems on networks ⋮ Homogenization of a transmission problem with Hamilton-Jacobi equations and a two-scale interface. Effective transmission conditions ⋮ On the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution Controls ⋮ Hybrid Thermostatic Approximations of Junctions for Some Optimal Control Problems on Networks ⋮ Hamilton–Jacobi equations for optimal control on junctions with unbounded running cost functions ⋮ Uniqueness of \(\beta\)-viscosity solutions of Hamilton-Jacobi equations and applications to a class of optimal control problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hamilton-Jacobi equations constrained on networks
- Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations
- Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations
- Vertex control of flows in networks
- Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with degenerate state constraints
- Viscosity solutions of eikonal equations on topological networks
- A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations
- A Bellman approach for two-domains optimal control problems in ℝN
- Hamilton–Jacobi–Bellman Equations on Multi-domains
- A Bellman Approach for Regional Optimal Control Problems in $\mathbb{R}^N$
- Hamilton-Jacobi Equations with State Constraints
- Optimal Control with State-Space Constraint I
- Optimal Control with State-Space Constraint. II
- Deterministic Exit Time Control Problems With Discontinuous Exit costs
- A New Formulation of State Constraint Problems for First-Order PDEs
- A Hamilton-Jacobi approach to junction problems and application to traffic flows
- On Filippov's Implicit Functions Lemma
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Comparison principle for the Cauchy problem for Hamilton-Jacobi equations with discontinuous data
This page was built for publication: Hamilton–Jacobi equations for optimal control on junctions and networks
