Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 2: Problems with Bilateral State Constraints
DOI10.1080/01630563.2021.1959344zbMath1477.49030arXiv1901.09718OpenAlexW3194960079MaRDI QIDQ5860731
Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen
Publication date: 22 November 2021
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.09718
maximum principleBorel measurable functionLebesgue-Stieltjes integralfunction of bounded variationstate constraintsolution existence theoremfinite horizon optimal control problem
Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)
Cites Work
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- Normality and nondegeneracy for optimal control problems with state constraints
- On the optimal control of a hydroelectric power plant
- Einige notwendige Optimalitätsbedingungen für einfache reguläre Aufgaben der optimalen Steuerung. (Some necessary optimality conditions for simple regular optimal control problems)
- Optimal control of a hydroelectric power plant with unregulated spilling water
- Solution method for regular optimal control problems with state constraints
- Investigation of a macroeconomic model by the method of region analysis
- When is the maximum principle for state constrained problems nondegenerate?
- Solving a class of optimal control problems which are linear in the control variable by the method of orienting curves
- On a few questions regarding the study of state-constrained problems in optimal control
- A method for solving a class of optimal control problems which are linear in the control variable
- Some necessary conditions for optimality for a class of optimal control problems which are linear in the control variable
- Necessary conditions for infinite horizon optimal control problems with state constraints
- Optimal economic growth models with nonlinear utility functions
- Optimal processes in a parametric optimal economic growth model
- Functional Analysis, Calculus of Variations and Optimal Control
- Lineare steuerungsprobleme mit engen zustandsbereichen
- Zur Lösung eines zermelosehen nayigationsproblems
- Solution of some high-dimensional linear optimal control problems by the method of region-analysis
- Ein konstruktives lösungsverfahren für das roblem des inpolygons kleinsten Umfangs Von J Steiner
- Linear optimal control problem of a system with circuit-free graph structure
- Method of orienting curves for solving optimal control problems with state constraints1
- Solving a class of regular optimal control problems with state constraints by the method of orienting curves
- Investigation of the Degeneracy Phenomenon of the Maximum Principle for Optimal Control Problems with State Constraints
- The method of orienting curves and its application to manipulator trajectory planning
- Variational Analysis and Applications
- Zur lösung einer regulären aufgabenklasse der optimalen steuerung im groβen mittels orientierungskurven
- A Survey of the Maximum Principles for Optimal Control Problems with State Constraints
- Some remarks on the method of orienting curves∗
- Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 1: Problems with Unilateral State Constraints
- Optimal economic growth problems with high values of total factor productivity
- Optimal control
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