Necessary optimality conditions for a class of optimal control problems with discontinuous integrand

DOI10.1134/S0081543808030176zbMath1160.49020OpenAlexW1967454162MaRDI QIDQ2378022

Yanyan Li

Publication date: 5 January 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543808030176

zbMATH Keywords

approximation methodnonlinear optimal control problemPontryagin's maximum

Mathematics Subject Classification ID

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

Related Items (6)

Necessary optimality condition for the minimal time crisis relaxing transverse condition via regularization ⋮ Weakening state constraints in optimal control problems ⋮ A Problem of Dynamic Optimization in the Presence of Dangerous Factors ⋮ An Optimal Control Problem with a Risk Zone ⋮ On an optimal control problem with discontinuous integrand ⋮ Refined Euler-Lagrange inclusion for an optimal control problem with discontinuous integrand

Cites Work

• The Pontryagin maximum principle for the problem of optimally crossing a given domain
• Methods of regularization in nonsmooth problems of dynamic optimization
• FIRST-ORDER NECESSARY CONDITIONS IN THE PROBLEM OF OPTIMAL CONTROL OF A DIFFERENTIAL INCLUSION WITH PHASE CONSTRAINTS
• Investigation of the Degeneracy Phenomenon of the Maximum Principle for Optimal Control Problems with State Constraints
• A method of smooth approximation in the theory of necessary optimality conditions for differential inclusions
• Abnormal extremal problems and optimality conditions
• Sufficient conditions for extremum, penalty functions and regularity
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