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Optimal control - A review of theory and practice.
AIAA Journal, 1965T objectives of this review are to summarize and to evaluate the present state of knowledge concerning optimal control synthesis. The primary areas of interest are flight mechanics and flight control. The design of optimal stabilization and control systems, the determination of optimal flight paths, and the calculation of optimal orbital transfers have
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On classical envelopes in optimal control theory
49th IEEE Conference on Decision and Control (CDC), 2010The method of characteristics is utilized to investigate the value function of an optimal control problem with a smooth control near singularities of the corresponding flow of extremals. A direct generalization of the classical concept of envelopes from the calculus of variations to the optimal control problem is formulated. As a simple illustration it
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An Extension of an Optimal Control Sufficiency Theory
SIAM Journal on Control, 1974An extension is given for a general sufficiency theory in time-optimal control which was developed by L. C. Young. The extension enables sufficient conditions to be applied to a wider class of trajectories than in the original theory, including a class of trajectories with initial Lagrange multiplier unity.
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On Variational Theory and Optimal Control Theory
Journal of the Society for Industrial and Applied Mathematics Series A Control, 1965openaire +2 more sources
McKean–Vlasov Optimal Control: Limit Theory and Equivalence Between Different Formulations
Mathematics of Operations Research, 2022Dylan Possamai, Xiaolu Tan
exaly
Proceedings of the National Academy of Sciences of the United States of America, 2021
Alexander Schulz +2 more
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Alexander Schulz +2 more
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The status of optimal control theory and applications for deterministic systems
IEEE Transactions on Automatic Control, 1966M Athans
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