The Semigroup Property of Value Functions in Lagrange Problems

Dynamic programming in optimal control and differential games (49L20) Methods involving semicontinuity and convergence; relaxation (49J45) Hamilton-Jacobi theories (49L99)

Cites Work

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A modified Hamilton-Jacobi approach in the generalized problem of Bolza
Existence and regularity in the small in the calculus of variations
A uniqueness theorem for differential inclusions
Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited
Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
Existence theorems for general control problems of Bolza and Lagrange
On generalized dynamical systems defined by contingent equations
Local Optimality Conditions and Lipschitzian Solutions to the Hamilton–Jacobi Equation
Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
Sufficient Conditions for the Generalized Problem of Bolza
Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
Differential Games, Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman’s and Isaacs’ Equations
Optimization and nonsmooth analysis
Viscosity Solutions of Hamilton-Jacobi Equations
On existence and uniqueness of solutions of Hamilton-Jacobi equations
The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion
Semigroups of convex bifunctions generated by Lagrange problems in the calculus of variations.
Extremal Arcs and Extended Hamiltonian Systems
A Necessary and Sufficient Condition for Optimality of Dynamic Programming Type, Making No a Priori Assumptions on the Controls
Optimal Feedback Controls
Optimal Arcs and the Minimum Value Function in Problems of Lagrange
Convex Analysis
Hamilton–Jacobi Theory for Optimal Control Problems with Data Measurable in Time

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