Necessary conditions for infinite horizon optimal control problems with state constraints

DOI10.3934/mcrf.2018022zbMath1422.49022OpenAlexW2891947808WikidataQ129107815 ScholiaQ129107815MaRDI QIDQ2001539

Hélène Frankowska, Vincenzo Basco, Piermarco Cannarsa

Publication date: 3 July 2019

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2018022

zbMATH Keywords

maximum principlestate constraintsLipschitz continuityvalue functioninfinite horizon optimal controlsensitivity relation

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Differential geometry of symmetric spaces (53C35) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (7)

Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations ⋮ Infinite horizon optimal control for a general class of semilinear parabolic equations ⋮ Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part I: Analysis of the Controlled State Equation ⋮ Infinite Horizon Optimal Control of Non-Convex Problems Under State Constraints ⋮ Why (some) abnormal problems are ``normal ⋮ Infinite Horizon Linear Quadratic Overtaking Optimal Control Problems ⋮ Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 2: Problems with Bilateral State Constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Maximum principle for infinite-horizon optimal control problems under weak regularity assumptions
• On the long-run distribution of capital in the Ramsey model
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Duality theory for dynamic optimization models of economics: The continuous time case
• Hamilton-Jacobi-Bellman equations with time-measurable data and infinite horizon
• Necessary conditions for nonsmooth, infinite-horizon, optimal control problems
• Improved sensitivity relations in state constrained optimal control
• On relations of the adjoint state to the value function for optimal control problems with state constraints
• On some properties of the adjoint variable in the relations of the Pontryagin maximum principle for optimal economic growth problems
• Variational Analysis
• Optimal Growth with Irreversible Investment in a Ramsey Model
• A Connection Between the Maximum Principle and Dynamic Programming for Constrained Control Problems

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