Extended Hamilton--Jacobi Characterization of Value Functions in Optimal Control

DOI10.1137/S0363012998347882zbMath0971.49017MaRDI QIDQ4507456

Grant N. Galbraith

Publication date: 18 October 2000

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

optimal controlnonsmooth analysisHamilton-Jacobi equationnecessary conditionsviability theoryBolza problemgeneralized viscosity solution

Mathematics Subject Classification ID

Related Items (9)

Time-Dependent Measurable Hamilton–Jacobi Equations ⋮ Reduction of lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations ⋮ Viscosity solutions to an initial value problem for a Hamilton-Jacobi equation with a degenerate Hamiltonian occurring in the dynamics of peakons ⋮ Duality and uniqueness of convex solutions to stationary Hamilton-Jacobi equations ⋮ On nonuniqueness of solutions of Hamilton-Jacobi-Bellman equations ⋮ Existence of solutions to a one-dimensional Hamilton–Jacobi equation with a degenerate Hamiltonian ⋮ An Error Estimate for Symplectic Euler Approximation of Optimal Control Problems ⋮ Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities ⋮ Existence of viscosity solutions with the optimal regularity of a two-peakon Hamilton–Jacobi equation

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