Relaxation of Optimal Control Problems Involving Time Dependent Subdifferential Operators

DOI10.1080/01630563.2013.807287zbMath1288.34057OpenAlexW2072264671MaRDI QIDQ5396926

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Publication date: 4 February 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.807287

zbMATH Keywords

optimal controldifferential inclusionYoung measuresubdifferential operatorabsolutely continuous mapLipschitz pertubation

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Evolution inclusions (34G25) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (15)

Optimal Control Problems Governed by Time Dependent Subdifferential Operators with Delay ⋮ Perturbed evolution problems with continuous bounded variation in time and applications ⋮ Second-order problems involving time-dependent subdifferential operators and application to control ⋮ A coupled problem described by time-dependent subdifferential operator and non-convex perturbed sweeping process ⋮ Control problems governed by time-dependent maximal monotone operators ⋮ Unnamed Item ⋮ Evolution Problems with Time-Dependent Subdifferential Operators ⋮ Sweeping process with right uniformly lower semicontinuous mappings ⋮ Some results associated to first-order set-valued evolution problems with subdifferentials ⋮ Unnamed Item ⋮ Lipschitz perturbation to evolution inclusion driven by time-dependent maximal monotone operators ⋮ Second-Order Perturbed State-Dependent Sweeping Process with Subsmooth Sets ⋮ On a time-dependent subdifferential evolution inclusion with Carathéodory perturbation ⋮ A control problem involving time and state-dependent maximal monotone operators via Young measures ⋮ Set-valued perturbation to second-order evolution problems with time-dependent subdifferential operators

Cites Work

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• Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Cauchy problems
• Some nonlinear parabolic variational inequalities
• Evolution equations associated with the subdifferentials
• Subdifferential evolution inclusion in nonconvex analysis
• On certain nonlinear evolution equations
• Relaxation of an optimal control problem involving a perturbed sweeping process
• On a time-dependent subdifferential evolution inclusion with a nonconvex upper-semicontinuous perturbation
• Evolution equations with lack of convexity
• Strong solutions for parabolic variational inequalities
• Sur la généralisation de la notion de commande d'un système guidable
• Functions of Relaxed Controls

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