A method for solving a class of optimal control problems which are linear in the control variable

DOI10.1016/0167-6911(87)90037-5zbMath0613.49021OpenAlexW2023606807MaRDI QIDQ1819358

Hoang Xuan Phu

Publication date: 1987

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(87)90037-5

zbMATH Keywords

method of region analysisoptimal control problems with phase restrictions

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (7)

On Hölder calmness and Hölder well-posedness for optimal control problems ⋮ On the optimal control of a hydroelectric power plant ⋮ Optimal control of a hydroelectric power plant with unregulated spilling water ⋮ Solution method for regular optimal control problems with state constraints ⋮ Method of orienting curves for solving optimal control problems with state constraints¹ ⋮ Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 2: Problems with Bilateral State Constraints ⋮ Investigation of a macroeconomic model by the method of region analysis

Cites Work

• Unnamed Item
• Zur Stetigkeit der Lösung der adjungierten Gleichung bei Aufgaben der optimalen Steuerung mit Zustandsbeschränkungen. (The continuity of the solution of the adjoint equation in optimal control problems with state restrictions)
• On the optimal control of a hydroelectric power plant
• Some necessary conditions for optimality for a class of optimal control problems which are linear in the control variable
• Lineare steuerungsprobleme mit engen zustandsbereichen
• A gradient method for computing optimal bang-bang controls

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