Existence of solutions of optimal control problems for a generic integrand without convexity assumptions

DOI10.1016/S0362-546X(99)00197-2zbMath0979.49001OpenAlexW2011520820MaRDI QIDQ1593680

Zaslavski, Alexander J.

Publication date: 5 February 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00197-2

zbMATH Keywords

complete metric spaceoptimal solutionadmissible pairgeneric integrand

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10)

Related Items (11)

Generic well-posedness of variational problems without convexity assumptions ⋮ TWO POROSITY RESULTS IN MONOTONIC ANALYSIS ⋮ Generic existence of Lipschitzian solutions of optimal control problems without convexity assumptions ⋮ Generic well-posedness of nonconvex constrained variational problems ⋮ Porosity results for two-set nearest and farthest point problems ⋮ Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces ⋮ Generic well-posedness of nonconvex optimal control problems ⋮ Generic well-posedness of constrained variational problems without convexity assumptions ⋮ Density of the set of local minimizers for a generic cost function ⋮ Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces ⋮ Well-posedness and porosity in the calculus of variations without convexity assumptions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
• Optimal control theory
• Existence theorems for general control problems of Bolza and Lagrange
• Solutions for a class of optimal control problems with time delay. II
• Solutions for a class of optimal control problems with time delay. I
• Integrals which are convex functionals
• Integrals which are convex functionals. II
• Existence Results for Noncoercive Variational Problems
• Weakly Differentiable Functions
• Lower Semicontinuity of Integral Functionals
• Existence Theorems for Hereditary Lagrange and Mayer Problems of Optimal Control
• An Existence Theorem for a General Bolza Problem
• An Existence Result in a Problem of the Vectorial Case of the Calculus of Variations
• Existence and Duality Theorems for Convex Problems of Bolza

This page was built for publication: Existence of solutions of optimal control problems for a generic integrand without convexity assumptions