Conjugate points in infinite-horizon control problems

DOI10.1016/S0005-1098(00)00182-5zbMath0977.49013OpenAlexW2020957941MaRDI QIDQ5932266

Naïla Hayek, Joël Blot

Publication date: 7 May 2001

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(00)00182-5

zbMATH Keywords

monotonicityoptimal controlsecond-order necessary conditionconjugate pointsinfinite-horizon control problemsstate trajectories

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

Existence of solutions for a class of nonconcave infinite horizon optimal control problems ⋮ Stability of a turnpike phenomenon for a discrete-time optimal control system ⋮ Structure of approximate solutions for discrete-time control systems arising in economic dynamics ⋮ Turnpike results for a class of discrete-time optimal control problems arising in economic dynamics

Cites Work

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• On the conjugate point condition for the control problem
• Necessary Conditions for Optimal Control Problems: Conjugate Points
• Conjugate points and optimal control: counterexamples
• Necessary Conditions for Optimal Control Problems with Infinite Horizons
• Second-Order Necessary Conditions for the Infinite-Horizon Variational Problems

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