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Regularity Properties of Optimal Controls

https://doi.org/10.1137/0328055
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-6380-7openalex-snapshot
Deterministic and Stochastic Optimal Control
inferredcites →https://doi.org/10.1007/bf00276295openalex-snapshot
One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
inferredcites →https://doi.org/10.1007/bf01449034openalex-snapshot
On the conditions under which the euler equation or the maximum principle hold
inferredcites →https://doi.org/10.1016/0016-0032(71)90066-4openalex-snapshot
Finite dimensional linear systems
inferredcites →https://doi.org/10.1016/0022-0396(85)90145-7openalex-snapshot
Existence and regularity in the small in the calculus of variations
inferredcites →https://doi.org/10.1090/s0002-9947-1985-0779053-3openalex-snapshot
Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
inferredcites →https://doi.org/10.1090/s0002-9947-1990-0970266-6openalex-snapshot
A Regularity Theory for Variational Problems with Higher Order Derivatives
inferredcites →https://doi.org/10.1109/tac.1968.1098847openalex-snapshot
Foundations of optimal control theory
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Overview
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Necessary Conditions for Differential Inclusion Problems with State Constraints
inferred← citeshttps://doi.org/10.1007/978-0-8176-8086-2_11openalex-snapshot
Regularity of Minimizers
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Dynamic Programming
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Measurable Multifunctions and Differential Inclusions
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Variational Principles
inferred← citeshttps://doi.org/10.1007/978-0-8176-8086-2_4openalex-snapshot
Nonsmooth Analysis
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Subdifferential Calculus
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The Maximum Principle
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The Extended Euler–Lagrange and Hamilton Conditions
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Necessary Conditions for Free End-Time Problems
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The Maximum Principle for State Constrained Problems
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Regularity of Minimizers
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Existence and Lipschitzian Regularity for Relaxed Minimizers
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Lipschitz Continuity of Optimal Trajectories in Deterministic Optimal Control
inferred← citeshttps://doi.org/10.1007/s00211-022-01328-6openalex-snapshot
Nonnegative low rank tensor approximations with multidimensional image applications
inferred← citeshttps://doi.org/10.1007/s002459911013openalex-snapshot
Lipschitzian Regularity of Minimizers for Optimal Control Problems with Control-Affine Dynamics
inferred← citeshttps://doi.org/10.1007/s00526-006-0037-xopenalex-snapshot
Lipschitzianity of optimal trajectories for the Bolza optimal control problem
inferred← citeshttps://doi.org/10.1007/s11228-014-0296-1openalex-snapshot
Infimum Gaps for Limit Solutions
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Normality of the maximum principle for nonconvex constrained Bolza problems
inferred← citeshttps://doi.org/10.1016/j.jmaa.2020.124123openalex-snapshot
Regularity and necessary conditions for a Bolza optimal control problem
inferred← citeshttps://doi.org/10.1090/s0002-9947-09-04765-5openalex-snapshot
Existence and Lipschitz regularity of solutions to Bolza problems in optimal control
inferred← citeshttps://doi.org/10.1090/tran/2009-361-09openalex-snapshot
inferred← citeshttps://doi.org/10.1134/s0081543815080040openalex-snapshot
On the boundedness of optimal controls in infinite-horizon problems
inferred← citeshttps://doi.org/10.1134/s0081543817050017openalex-snapshot
Existence of an optimal control in infinite-horizon problems with unbounded set of control constraints
inferred← citeshttps://doi.org/10.1137/14098627xopenalex-snapshot
Pointwise Second-order Necessary Conditions for Stochastic Optimal Controls, Part I: The Case of Convex Control Constraint
inferred← citeshttps://doi.org/10.1137/17m1148773openalex-snapshot
Second-Order Necessary Conditions for Stochastic Optimal Control Problems
inferred← citeshttps://doi.org/10.1142/9789814324359_0172openalex-snapshot
Optimal Control under State Constraints
inferred← citeshttps://doi.org/10.3390/sym16101398openalex-snapshot
Sixty Years of the Maximum Principle in Optimal Control: Historical Roots and Content Classification
inferred← citeshttps://doi.org/10.3934/dcdsb.2009.11.629openalex-snapshot
On Bolza optimal control problems with constraints
inferred← citeshttps://doi.org/10.48550/arxiv.1603.08274openalex-snapshot
First and second order necessary conditions for stochastic optimal controls
inferred← citeshttps://doi.org/10.48550/arxiv.1907.02654openalex-snapshot
Mild and weak solutions of Mean Field Games problem for linear control systems
inferred← citeshttps://doi.org/10.48550/arxiv.2007.14137openalex-snapshot
Nonnegative Low Rank Tensor Approximation and its Application to Multi-dimensional Images
inferred← citeshttps://doi.org/10.48550/arxiv.math/0405200openalex-snapshot
Generalized splines in R^n and optimal control
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Regularization and bang-bang conjugate times in optimal control
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