A second-order condition that strengthens Pontryagin's maximum principle

DOI10.1016/0022-0396(78)90073-6zbMath0346.49012OpenAlexW2062545789MaRDI QIDQ1233621

Jack Warga

Publication date: 1978

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90073-6

zbMATH Keywords

Pontryagin's maximum principle

Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (14)

Variational optimality conditions with feedback descent controls that strengthen the maximum principle ⋮ Second-Order Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Constraint ⋮ Positional strengthenings of the maximum principle and sufficient optimality conditions ⋮ Necessary second-order conditions for a weak local minimum in a problem with endpoint and control constraints ⋮ Second order optimality conditions for optimal control problems on Riemannian manifolds ⋮ Pointwise Second-Order Necessary Conditions for Stochastic Optimal Controls, Part II: The General Case ⋮ Admissible directions and generalized coupled points for optimal control problems ⋮ Feasible perturbations of control systems with pure state constraints and applications to second-order optimality conditions ⋮ Second order necessary conditions for endpoints-constrained optimal control problems on Riemannian manifolds ⋮ Stochastic Optimal Control Problems with Control and Initial-Final States Constraints ⋮ A proper relaxation of shifted and delayed controls ⋮ A second-order Lagrangian condition for restricted control problems ⋮ Second-Order Necessary Conditions for Stochastic Optimal Control Problems ⋮ Second-Order Necessary Conditions for Optimal Control Problems with Endpoints-Constraints and Convex Control-Constraints

Cites Work

• Relaxed variational problems
• The High Order Maximal Principle and Its Application to Singular Extremals
• A SECOND ORDER OPTIMALITY PRINCIPLE FOR A TIME-OPTIMAL PROBLEM
• On Certain Questions in the Theory of Optimal Control
• A New Necessary Condition of Optimality for Singular Control Problems
• High Order Necessary Conditions for Optimality
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