Quadratic order conditions for an extended weak minimum in optimal control problems with intermediate and mixed constraints

DOI10.3934/dcds.2011.29.523zbMath1209.49021OpenAlexW2328100486MaRDI QIDQ632316

Andrei V. Dmitruk, Alexander M. Kaganovich

Publication date: 15 March 2011

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

Full work available at URL: https://doi.org/10.3934/dcds.2011.29.523

zbMATH Keywords

second variationEuler-Lagrange equationmixed constraintsweak minimumintermediate constraintsreplication of state and control variables

Mathematics Subject Classification ID

Variable structure systems (93B12) Optimality conditions for problems involving ordinary differential equations (49K15)

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Necessary optimality condition for the minimal time crisis relaxing transverse condition via regularization ⋮ Markov-Dubins interpolating curves ⋮ The minimum principle of hybrid optimal control theory ⋮ On second-order necessary conditions for broken extremals ⋮ Second-order analysis for the time crisis problem ⋮ Necessary conditions for a weak minimum in optimal control problems with integral equations on a variable time interval

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