Relaxation and controllability in optimal control problems

DOI10.1070/SM8721zbMath1382.93006MaRDI QIDQ5369342

Gregorij G. Magaril-Il'yaev, Evgeniy Avakov

Publication date: 17 October 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

optimal controlcontrollabilityoptimality conditionscontrol systemsrelaxed problemsBolza example

Mathematics Subject Classification ID

Controllability (93B05) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving ordinary differential equations (49J15) Duality theory (optimization) (49N15) Existence theories for problems in abstract spaces (49J27)

Related Items

Towards the theory of strong minimum in calculus of variations and optimal control: a view from variational analysis, Local Controllability for Abnormal Systems, Controllability and second-order necessary conditions for optimality, Fine Metrizable Convex Relaxations of Parabolic Optimal Control Problems

Cites Work

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• Relaxed variational problems
• Principles of optimal control theory. Translated from Russian by Karol Makowski. Translation editor Leonard D. Berkovitz
• Lagrange's principle in extremum problems with constraints