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State Constraints in Optimal Control: A Case Study in Proximal Normal Analysis
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1016/0022-247x(82)90099-3openalex-snapshot
A maximum principle for nonsmooth optimal-control problems with state constraints
inferredcites →https://doi.org/10.1016/0362-546x(85)90012-4openalex-snapshot
Extensions of subgradient calculus with applications to optimization
inferredcites →https://doi.org/10.1016/0362-546x(87)90008-3openalex-snapshot
Epi-Lipschitz-like sets in Banach space: theorems and examples
inferredcites →https://doi.org/10.1016/0362-546x(87)90079-4openalex-snapshot
The proximal normal formula in Hilbert space
inferredcites →https://doi.org/10.1109/tac.1986.1104318openalex-snapshot
Perturbed optimal control problems
inferredcites →https://doi.org/10.1137/0305007openalex-snapshot
An Abstract Variational Theory with Applications to a Broad Class of Optimization Problems. II. Applications
inferredcites →https://doi.org/10.1137/0310051openalex-snapshot
State Constraints in Convex Control Problems of Bolza
inferredcites →https://doi.org/10.1137/0314037openalex-snapshot
Controllability and Necessary Conditions in Unilateral Problems without Differentiability Assumptions
inferredcites →https://doi.org/10.1137/0324014openalex-snapshot
The Value Function in Optimal Control: Sensitivity, Controllability, and Time-Optimality
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
inferredcites →https://doi.org/10.1287/moor.4.4.458openalex-snapshot
The Generalized Gradient of a Marginal Function in Mathematical Programming
inferredcites →https://doi.org/10.1287/moor.9.2.159openalex-snapshot
Necessary Conditions in Nonsmooth Optimization
inferredcites →https://doi.org/10.2307/2005033openalex-snapshot
Calculus of Variations and Optimal Control Theory
inferredcites →https://doi.org/10.4153/cjm-1986-022-4openalex-snapshot
Proximal Analysis and Boundaries of Closed Sets in Banach Space, Part I: Theory
inferredcites →https://doi.org/10.4153/cjm-1987-019-4openalex-snapshot
Proximal Analysis and Boundaries of Closed Sets in Banach Space. Part II: Applications
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/oca.4660120103openalex-snapshot
The non‐linear beam via optimal control with bounded state variables
inferred← citeshttps://doi.org/10.1002/oca.4660130104openalex-snapshot
Numerical solution of a drug displacement problem with bounded state variables
inferred← citeshttps://doi.org/10.1007/978-1-4613-0279-7_1openalex-snapshot
Inner Approximation of State-Constrained Optimal Control Problems
inferred← citeshttps://doi.org/10.1007/978-1-4757-6019-4_15openalex-snapshot
Perturbed Differential Inclusion Problems
inferred← citeshttps://doi.org/10.1007/978-1-4757-6019-4_3openalex-snapshot
Applications of Proximal Subgradients
inferred← citeshttps://doi.org/10.1007/bf00940082openalex-snapshot
Proximal normal analysis approach to optimal control problems in infinite-dimensional spaces
inferred← citeshttps://doi.org/10.1007/bf01189904openalex-snapshot
Sensitivity, controllability, and necessary conditions of optimal control problems governed by integral equations
inferred← citeshttps://doi.org/10.1007/bf02551380openalex-snapshot
Necessary conditions for infinite-dimensional control problems
inferred← citeshttps://doi.org/10.1007/s10957-005-2097-zopenalex-snapshot
Characterizations of Optimal Trajectories for Nonconvex Control Systems under State Constraints
inferred← citeshttps://doi.org/10.1016/s0294-1449(16)30336-5openalex-snapshot
Differential inclusions with free time
inferred← citeshttps://doi.org/10.1023/a:1021789803999openalex-snapshot
Perturbed Differential Inclusion Problems with Nonadditive L 1-Perturbations and Applications
inferred← citeshttps://doi.org/10.1023/a:1022648332227openalex-snapshot
Perturbed Differential Inclusion Problems with Nonadditive L 1-Perturbations and Applications
inferred← citeshttps://doi.org/10.1109/cdc.1986.267357openalex-snapshot
State constraints in optimal control
inferred← citeshttps://doi.org/10.1137/0327010openalex-snapshot
Contingent Cones to Reachable Sets of Control Systems
inferred← citeshttps://doi.org/10.1137/1037043openalex-snapshot
A Survey of the Maximum Principles for Optimal Control Problems with State Constraints
inferred← citeshttps://doi.org/10.1137/s036301290139155xopenalex-snapshot
Variational Inclusions under State Constraints
inferred← citeshttps://doi.org/10.1137/s0363012993244878openalex-snapshot
Epsilon-Maximum Principle of Pontryagin Type and Perturbation Analysis of Convex Optimal Control Problems
inferred← citeshttps://doi.org/10.4153/cmb-1988-051-9openalex-snapshot
The Proximal Subgradient Formula in Banach Space
inferred← citeshttps://doi.org/10.7153/mia-07-46openalex-snapshot
The first Weierstrass-Erdmann condition in variational problems involving differential inclusions
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