Proof of the maximum principle for a problem with state constraints by the \(v\)-change of time variable

DOI10.3934/DCDSB.2019090zbMath1419.49021OpenAlexW2928893271WikidataQ128053512 ScholiaQ128053512MaRDI QIDQ2316393

Nikolaĭ P. Osmolovskiĭ, Andrei V. Dmitruk

Publication date: 26 July 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019090

zbMATH Keywords

Lagrange multipliersfunction of bounded variationLebesgue-Stieltjes measurePontryagin maximum principlesemi-infinite problem\(v\)-change of time variablecentered family of compactafinite-valued maximality condition

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for problems in abstract spaces (49K27)

Related Items (3)

Variations of $v$-change of time in an optimal control problem with state and mixed constraints ⋮ Pontryagin maximum principle for state constrained optimal sampled-data control problems on time scales ⋮ Optimal sampled-data controls with running inequality state constraints: Pontryagin maximum principle and bouncing trajectory phenomenon

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