On Some Open Problems in Optimal Control

DOI10.1007/978-3-319-75169-6_1zbMath1401.49052OpenAlexW2805605915MaRDI QIDQ4690899

Asen L. Dontchev

Publication date: 23 October 2018

Published in: Lecture Notes in Economics and Mathematical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-75169-6_1

zbMATH Keywords

regularity of solutionsoptimal control problems with constraints

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Linear-quadratic optimal control problems (49N10) Discrete approximations in optimal control (49M25) Linear optimal control problems (49N05)

Cites Work

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• On the relationship between continuous- and discrete-time control systems
• On the convexity of integrals of multivalued mappings. Applications in control theory
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• On variational inequalities over polyhedral sets
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• Error Estimates for the Euler Discretization of an Optimal Control Problem with First-Order State Constraints
• Singular Perturbation in Mayer’s Problem for Linear Systems
• Lipschitz Continuity for Constrained Processes
• Strongly Regular Generalized Equations
• Error Estimates for a Discrete Approximation to Constrained Control Problems
• Variational Analysis
• Second-Order Runge--Kutta Approximations in Control Constrained Optimal Control
• The Euler approximation in state constrained optimal control
• Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
• The radius of metric regularity
• The Euler Method for Linear Control Systems Revisited
• Implicit Functions and Solution Mappings

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