Uniformly overtaking and weakly overtaking optimal solutions in infinite horizon optimal control: When optimal solutions are agreeable

DOI10.1007/BF00940022zbMath0687.49023OpenAlexW2071857692MaRDI QIDQ1263080

Dean A. Carlson

Publication date: 1990

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00940022

zbMATH Keywords

objective functionalovertaking optimalitysufficient conditions for optimalityagreeable plansinfinite-timelimiting

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (8)

Necessity of limiting co-state arcs in Bolza-type infinite horizon problem ⋮ Arrow-type sufficient conditions for optimality of age-structured control problems ⋮ On the optimal harvesting strategy for a generalized population model ⋮ Necessary conditions in infinite-horizon control problems that need no asymptotic assumptions ⋮ Necessity of vanishing shadow price in infinite horizon control problems ⋮ On existence of optimal programs: the RSS model without concavity assumptions on felicities ⋮ Manifold turnpikes, trims, and symmetries ⋮ Nonconvex and relaxed infinite-horizon optimal control problems

Cites Work

• Decision and forecast horizons, agreeable plans, and the maximum principle for infinite horizon control problems
• Criteria of optimality in the infinite-time optimal control problem
• Arrow-type sufficient optimality conditions for nondifferentiable optimal control problems with state constraints
• The controllability of infinite horizon optimal control problems
• Uniformly Optimal Infinite Horizon Plans
• Analysis of the Asymptotic Behavior of Optimal Control Trajectories: The Implicit Programming Problem
• Necessary Conditions for Optimal Control Problems with Infinite Horizons
• Sufficient Conditions in Optimal Control Theory

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