New approximation method in the proof of the Maximum Principle for nonsmooth optimal control problems with state constraints

DOI10.1016/j.jmaa.2006.03.056zbMath1108.49015OpenAlexW2010135062MaRDI QIDQ865316

Ilya A. Shvartsman

Publication date: 14 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.056

zbMATH Keywords

optimal controlnonlinear controlsubdifferentialPontryagin maximum principlenonsmoothnessfirst order necessary conditions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (7)

Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints ⋮ A Pontryagin Maximum Principle in Wasserstein spaces for constrained optimal control problems ⋮ Necessary conditions in infinite-horizon control problems that need no asymptotic assumptions ⋮ Necessary optimality conditions in discrete nonsmooth optimal control ⋮ Necessary and sufficient conditions of optimality for a damped hyperbolic equation in one-space dimension ⋮ The quasidifferential descent method in a control problem with nonsmooth objective functional ⋮ Second-Order Optimality Conditions for Singular Pontryagin Local Minimizers

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