Generic well-posedness of nonconvex optimal control problems

DOI10.1016/j.na.2004.08.009zbMath1066.49016OpenAlexW2034053030MaRDI QIDQ1765207

Zaslavski, Alexander J.

Publication date: 23 February 2005

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/j.na.2004.08.009

zbMATH Keywords

well-posednessgenericitynonconvex optimal control

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (1)

Generic nonoccurrence of the Lavrentiev phenomenon for a class of optimal control problems

Cites Work

• On a classical problem of the calculus of variations without convexity assumptions
• Existence of solutions of optimal control problems for a generic integrand without convexity assumptions
• Generic well-posedness of variational problems without convexity assumptions
• Generic Well-Posedness of Optimal Control Problems without Convexity Assumptions
• Well-posedness criteria in optimization with application to the calculus of variations
• Variational Principles and Well-Posedness in Optimization and Calculus of Variations
• Existence and Duality Theorems for Convex Problems of Bolza
• Well-posedness and porosity in optimal control without convexity assumptions
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