Geometric and analytic views in existence theorems for optimal control. III: Weak solutions

DOI10.1007/BF00934060zbMath0305.49015OpenAlexW2043495994MaRDI QIDQ1217328

Lamberto Cesari

Publication date: 1976

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00934060

Mathematics Subject Classification ID

Controllability (93B05) Equations involving nonlinear operators (general) (47J05) Methods involving semicontinuity and convergence; relaxation (49J45) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (7)

Steady state bifurcations and exact multiplicity conditions via Carleman linearization ⋮ Asymptotic stability for a class of delay differential inclusions ⋮ Optimal control of nonlinear evolution inclusions ⋮ An existence theorem for Lagrange problems in Banach spaces ⋮ Upper semicontinuity properties of set valued functions ⋮ Existence of solutions for a class of nonlinear control problems ⋮ Existence of optimal controls for a class of systems governed by differential inclusions on a Banach space

Cites Work

• Seminormality properties of convex sets
• Closure theorems for orientor fields and weak convergence
• Hypotheses implying Cesari's property (Q)
• Nemitsky's operators and lower closure theorems
• Remarks on lower semicontinuity and lower closure
• Orientor field equations in Banach spaces
• Closure theorems without seminormality conditions
• Geometric and analytic views in existence theorems for optimal control. II: Distributed and boundary controls
• Lower semicontinuity and lower closure theorems without seminormality conditions
• Geometric and analytic views in existence theorems for optimal control in Banach spaces. I: Distributed parameters
• Existence theorems in multidimensional problems of optimization with distributed and boundary controls
• Convexity and Property (Q) in Optimal Control Theory
• Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
• Existence Theorems for Optimal Controls of the Mayer Type
• Closure, Lower Closure, and Semicontinuity Theorems in Optimal Control

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