The Pontryagin maximum principle for minimax problems of optimal control

DOI10.1016/0362-546X(90)90051-HzbMath0752.49013OpenAlexW2040888244MaRDI QIDQ3970940

Emmanuel Nicholas Barron

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90051-h

zbMATH Keywords

epi-convergencePontryagin maximum principleNecessary conditionsLagrange problemsEkeland's \(\varepsilon\)-maximum principle

Mathematics Subject Classification ID

Optimality conditions for minimax problems (49K35)

Related Items (13)

Minimax control for evolutionary variational bilateral problem ⋮ On certain minimax problems and Pontryagin's maximum principle ⋮ Bilinear minimax control problems for a class of parabolic systems with applications to control of nuclear reactors ⋮ \((L^\infty+\mathrm{Bolza})\) control problems as dynamic differential games ⋮ Relationship between the maximum principle and dynamic programming for minimax problems ⋮ Solving minimax control problems via nonsmooth optimization ⋮ Minimax control of an elliptic variational bilateral problem ⋮ Relaxation of minimax optimal control problems with infinite horizon ⋮ Equivalent formulations of optimal control problems with maximum cost and applications ⋮ An optimal feedback control that minimizes the epidemic peak in the SIR model under a budget constraint ⋮ Indirect obstacle minimax control for elliptic variational inequalities ⋮ Necessary conditions for minimax control problems of second order elliptic partial differential equations ⋮ State constrained \(L^\infty\) optimal control problems interpreted as differential games

Cites Work

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• On the variational principle
• The Bellman equation for minimizing the maximum cost
• Differential games with maximum cost
• Optimal Control with State-Space Constraint I
• Viscosity Solutions of Hamilton-Jacobi Equations
• Nonconvex minimization problems
• The Pontryagin Maximum Principle From Dynamic Programming and Viscosity Solutions to First-Order Partial Differential Equations

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