Generic Well-Posedness of Optimal Control Problems without Convexity Assumptions

DOI10.1137/S0363012998345391zbMath0973.49022OpenAlexW1978051256MaRDI QIDQ4507455

Zaslavski, Alexander J.

Publication date: 18 October 2000

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012998345391

zbMATH Keywords

complete metric spaceset-valued mappingoptimal control problemgeneric propertyintegrand

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31)

Related Items (16)

Generic well-posedness of variational problems without convexity assumptions ⋮ TWO POROSITY RESULTS IN MONOTONIC ANALYSIS ⋮ On Hölder calmness and Hölder well-posedness for optimal control problems ⋮ Generic existence of Lipschitzian solutions of optimal control problems without convexity assumptions ⋮ Nondifferentiability of a cost function at a point of minimum in minimax problems ⋮ Nonoccurrence of the Lavrentiev phenomenon for many nonconvex constrained variational problems ⋮ Generic well-posedness of nonconvex constrained variational problems ⋮ Levitin-Polyak well-posedness for equilibrium problems with functional constraints ⋮ Generic well-posedness for a class of equilibrium problems ⋮ Generic well-posedness of nonconvex optimal control problems ⋮ Generic well-posedness of minimization problems with mixed continuous constraints. ⋮ Generic well-posedness of constrained variational problems without convexity assumptions ⋮ Density of the set of local minimizers for a generic cost function ⋮ Generic well-posedness of minimization problems with mixed smooth constraints ⋮ Inexact proximal point methods in metric spaces ⋮ Well-posedness and porosity in the calculus of variations without convexity assumptions

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