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Hamilton–Jacobi Theory for Optimal Control Problems with Data Measurable in Time

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-6380-7openalex-snapshot
Deterministic and Stochastic Optimal Control
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Differential Inclusions
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Generalization of the main equation of differential game theory
inferredcites →https://doi.org/10.1007/bf01448202openalex-snapshot
Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
inferredcites →https://doi.org/10.1007/bf01691098openalex-snapshot
Differential inequalities and non-lipschitz scalar functions
inferredcites →https://doi.org/10.1007/bf02551239openalex-snapshot
New results on the relationship between dynamic programming and the maximum principle
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Integral functionals, normal integrands and measurable selections
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On generalized dynamical systems defined by contingent equations
inferredcites →https://doi.org/10.1016/0022-0396(90)90132-9openalex-snapshot
A uniqueness theorem for differential inclusions
inferredcites →https://doi.org/10.1016/0022-247x(90)90263-fopenalex-snapshot
Coextremals and the value function for control problems with data measurable in time
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On the optimal control of a hydroelectric power plant
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Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps
inferredcites →https://doi.org/10.1016/0362-546x(87)90076-9openalex-snapshot
Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians
inferredcites →https://doi.org/10.1090/s0002-9947-1984-0732102-xopenalex-snapshot
Some properties of viscosity solutions of Hamilton-Jacobi equations
inferredcites →https://doi.org/10.1137/0304027openalex-snapshot
Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method
inferredcites →https://doi.org/10.1137/0316038openalex-snapshot
A Necessary and Sufficient Condition for Optimality of Dynamic Programming Type, Making No a Priori Assumptions on the Controls
inferredcites →https://doi.org/10.1137/0321012openalex-snapshot
Weakest Conditions for Existence of Lipschitz Continuous Krotov Functions in Optimal Control Theory
inferredcites →https://doi.org/10.1137/0321013openalex-snapshot
New Global Optimality Conditions in Optimal Control Theory
inferredcites →https://doi.org/10.1137/0321052openalex-snapshot
Local Optimality Conditions and Lipschitzian Solutions to the Hamilton–Jacobi Equation
inferredcites →https://doi.org/10.1137/0323036openalex-snapshot
Differential Games, Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman’s and Isaacs’ Equations
inferredcites →https://doi.org/10.1137/0327053openalex-snapshot
Optimal Feedback Controls
inferredcites →https://doi.org/10.1137/0328062openalex-snapshot
The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
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inferredcites →https://doi.org/10.2140/pjm.1970.33.43openalex-snapshot
Trajectory integrals of set valued functions

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Duality in Optimal Control with First Order Differential Equations
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Duality in Optimal Control with First Order Differential Equations
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Overview
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Necessary Conditions for Differential Inclusion Problems with State Constraints
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Regularity of Minimizers
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Dynamic Programming
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Measurable Multifunctions and Differential Inclusions
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Variational Principles
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Nonsmooth Analysis
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Subdifferential Calculus
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The Maximum Principle
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The Extended Euler–Lagrange and Hamilton Conditions
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Necessary Conditions for Free End-Time Problems
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The Maximum Principle for State Constrained Problems
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On the Theory of Trajectory Tubes — A Mathematical Formalism for Uncertain Dynamics, Viability and Control
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Dynamic Programming
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Optimal Control Problems with a First Order PDE System — Necessary and Sufficient Optimality Conditions
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Dynamic programming for free-time problems with endpoint constraints
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Invariance properties of time measurable differential inclusions and dynamic programming
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Relationship Between the Maximum Principle and Dynamic Programming for Minimax Problems
inferred← citeshttps://doi.org/10.1016/0022-247x(90)90263-fopenalex-snapshot
Coextremals and the value function for control problems with data measurable in time
inferred← citeshttps://doi.org/10.1016/0167-6911(94)90057-4openalex-snapshot
Uniqueness of solutions to the Hamilton-Jacobi equation: a system theoretic proof
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Hamilton–Jacobi theory for hereditary control problems
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A stability property in mean field type differential games
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On the value function for nonautonomous optimal control problems with infinite horizon
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Hamilton-Jacobi Conditions for an Impulsive Control Problem
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Lipschitz Continuity of the Value Function in Optimal Control
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Lyapunov–Krotov Inequality and Sufficient Conditions in Optimal Control
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Viability analysis of the first-order mean field games
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Solutions to the Hamilton-Jacobi equation for Bolza problems with discontinuous time dependent data
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Nonconvex Duality and Semicontinuous Proximal Solutions of HJB Equation in Optimal Control
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ABSORBED AND NONABSORBED POINTS OF SETS OF ATTAINABILITY OF DIFFERENTIAL INCLUSIONS, AND GENERALIZED HAMILTON-JACOBI EQUATIONS
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The Semigroup Property of Value Functions in Lagrange Problems
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Hamilton Jacobi theory for optimal control problems with data measurable in time
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Free time problems with endpoint constraints: a dynamic programming approach
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Generalized Solutions of Hamilton–Jacobi Equations with Fractional Coinvariant Derivatives and Time-Measurable Hamiltonian
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Minimax and viscosity solutions in optimization problems for hereditary systems
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The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion
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Convex Duality and Nonlinear Optimal Control
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Sensitivity Interpretations of the Costate Variable for Optimal Control Problems with State Constraints
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Nonconvex Duality in Optimal Control
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A probabilistic approach to Dirac concentration in nonlocal models of adaptation with several resources
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Viscosity Solutions to Hereditary Dynamical Optimization
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Optimality Conditions for the Guaranteed Result in Time-Delay Control Problems⋆
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IMPULSIVE FEEDBACK CONTROL: A CONSTRUCTIVE APPROACH
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Nonconvex Duality and Viscosity Solutions of the Hamilton-Jacobi-Bellman Equation in Optimal Control
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Conditions nécessaires et suffisantes en contrôle optimal et applications
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Optimality conditions for optimal control problems and applications
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