Existence Theorems for Optimal Problems with Vector-Valued Cost Function

DOI10.2307/1994708zbMath0179.14002OpenAlexW4254534795MaRDI QIDQ5569729

Czeslaw Olech

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/1994708

zbMATH Keywords

ordinary differential equations

Related Items

A survey of vector optimization in infinite-dimensional spaces. II, On \(n\)-dimensional extensions of Fatou's lemma, Representation of Hamilton-Jacobi equation in optimal control theory with unbounded control set, Formulas for the variation of a solution and optimal control problems for differential equations with retarded arguments, Non convex control problems in Banach spaces, Optimal Arcs and the Minimum Value Function in Problems of Lagrange, Un teorema di esistenza per campi di orientori e applicazioni al problema libero del calcolo delle variazioni in dimensione infinita, Seminormality properties of convex sets, Differential games with nonzero sum (cooperative variant), Relaxed inf-compactness for variational problems by Hilbert cube compactification, Representation of Hamilton--Jacobi Equation in Optimal Control Theory with Compact Control Set, Unnamed Item, Existence and Duality Theorems for Convex Problems of Bolza, Nemitsky's operators and lower closure theorems, Existence theorems for general control problems of Bolza and Lagrange, Existence of optimum controls, Upper semicontinuity properties of set valued functions, Existence theorems for optimal control problems involving multiple integrals, Seminormality and upper semicontinuity in optimal control, On recent existence theorems in the theory of optimization, Upper semicontinuity properties of variable sets in optimal control, Unnamed Item, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal control for nonlinear processes
• The existence of optimal controls
• Attainable sets in systems with unbounded controls
• Les fonctions semi-continues dans l'espace des ensembles fermés
• Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
• Characterizations of a Class of Convex Sets.
• Remarks on Some Recent Extensions of Filippov’s Implicit Functions Lemma