Optimal Arcs and the Minimum Value Function in Problems of Lagrange

DOI10.2307/1996655zbMath0281.49005OpenAlexW4237404587MaRDI QIDQ4767836

R. Tyrrell Rockafellar

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996655

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving ordinary differential equations (49J15) Attainable sets, reachability (93B03)

Related Items (18)

Representation of Hamilton-Jacobi equation in optimal control theory with unbounded control set ⋮ Non convex control problems in Banach spaces ⋮ Reduction of lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations ⋮ Existence theorems for moving boundary optimization problems ⋮ Sufficient Conditions for the Generalized Problem of Bolza ⋮ Teoremi di esistenza del minimo per problemi di Bolza e di Lagrange in spazi di Banach ⋮ Representation of Hamilton--Jacobi Equation in Optimal Control Theory with Compact Control Set ⋮ The duality of convex functions and Cesari's property (Q) ⋮ Existence theorems for general control problems of Bolza and Lagrange ⋮ Necessary conditions for the neutral problem of Bolza with continuously varying time delay ⋮ Value functions and transversality conditions for infinite-horizon optimal control problems ⋮ The Semigroup Property of Value Functions in Lagrange Problems ⋮ Existence of optimum controls ⋮ Value Functions and Transversality Conditions for Infinite Horizon Optimal Control Problems ⋮ A modified Hamilton-Jacobi approach in the generalized problem of Bolza ⋮ First and second order sufficient conditions for optimal control and the calculus of variations ⋮ Dual sufficient optimality conditions for the generalized problem of Bolza. ⋮ Some existence and regularity results for dual linear control problems

Cites Work

• Unnamed Item
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• Optimal control for nonlinear processes
• The existence of optimal controls
• Existence theorems for optimal control problems involving multiple integrals
• Measurable dependence of convex sets and functions on parameters
• On Certain Questions in the Theory of Optimal Control
• Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
• Existence Theorems for Optimal Problems with Vector-Valued Cost Function
• Convex Analysis
• Closure, Lower Closure, and Semicontinuity Theorems in Optimal Control
• State Constraints in Convex Control Problems of Bolza
• Existence and Duality Theorems for Convex Problems of Bolza

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