Lagrange's principle in extremum problems with constraints

DOI10.1070/RM2013v068n03ABEH004838zbMath1275.49041OpenAlexW1984151217MaRDI QIDQ2854100

Vladimir M. Tikhomirov, Evgeniy Avakov, Gregorij G. Magaril-Il'yaev

Publication date: 17 October 2013

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2013v068n03abeh004838

zbMATH Keywords

abnormalityoptimal controlcontrollabilityconvex programmingphase constraintsextremum problemLagrange's principleLyapunov problems

Mathematics Subject Classification ID

Convex programming (90C25) Numerical methods based on necessary conditions (49M05) Controllability (93B05) Optimality conditions for problems in abstract spaces (49K27)

Related Items (13)

Pontryagin maximum principle, relaxation, and controllability ⋮ Mix of controls and the Pontryagin maximum principle ⋮ On necessary conditions for a minimum ⋮ On the iterative regularization of the Lagrange principle in convex optimal control problems for distributed systems of the Volterra type with operator constraints ⋮ The Pontryagin maximum principle for nonlinear optimal control problems with infinite horizon ⋮ On ill-posed problems, extremals of the Tikhonov functional and the regularized Lagrange principles ⋮ Метод множителей Лагранжа в классе субгладких отображений ⋮ Relaxation and controllability in optimal control problems ⋮ Local infimum and a family of maximum principles in optimal control ⋮ METRIC REGULARITY—A SURVEY PART II. APPLICATIONS ⋮ An extremum principle for smooth problems ⋮ Controllability and second-order necessary conditions for optimality ⋮ A variational approach to Lagrange multipliers

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