Strong stationarity for optimal control problems with non-smooth integral equation constraints: application to a continuous DNN
DOI10.1007/s00245-023-10059-5zbMath1526.49007arXiv2302.05318OpenAlexW4387057698MaRDI QIDQ6058518
Daniel Wachsmuth, Harbir Antil, Livia Betz
Publication date: 1 November 2023
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.05318
integral equationsCaputo derivativenon-smooth optimizationstrong stationaritydeep neural networks (DNN)optimal control of fractional ODEs
Nonsmooth analysis (49J52) Existence theories for optimal control problems involving ordinary differential equations (49J15) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08) Existence theories for optimal control problems involving relations other than differential equations (49J21)
Cites Work
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- Strong stationarity conditions for a class of optimization problems governed by variational inequalities of the second kind
- Too much regularity may force too much uniqueness
- A generalized Gronwall inequality and its application to a fractional differential equation
- Nonsmooth analysis
- Optimal control of parabolic variational inequalities
- Geometric theory of semilinear parabolic equations
- Optimal control of nonsmooth distributed parameter systems
- Contrôle dans les inéquations variationelles elliptiques
- Optimal control of a non-smooth semilinear elliptic equation
- Deep neural networks motivated by partial differential equations
- A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs
- Elliptic quasi-variational inequalities under a smallness assumption: uniqueness, differential stability and optimal control
- Optimal control of elliptic variational inequalities with bounded and unbounded operators
- Optimal control of a non-smooth quasilinear elliptic equation
- A general formulation and solution scheme for fractional optimal control problems
- Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
- A Space-Time Fractional Optimal Control Problem: Analysis and Discretization
- Mathematical Programs with Complementarity Constraints in Function Space: C- and Strong Stationarity and a Path-Following Algorithm
- Necessary Conditions for Distributed Control Problems Governed by Parabolic Variational Inequalities
- Error Estimates with Smooth and Nonsmooth Data for a Finite Element Method for the Cahn-Hilliard Equation
- On optimal control of processes governed by abstract functional, integral and hyperbolic differential equations1
- Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities
- Second order optimality conditions for a class of control problems governed by non-linear integral equations with application to parabolic boundary control
- Optimal Control of a Class of Processes Described by General Integral Equations of HAMMERSTEIN Type
- Optimal Control in Some Variational Inequalities
- Strong Stationarity for Optimal Control of a Nonsmooth Coupled System: Application to a Viscous Evolutionary Variational Inequality Coupled with an Elliptic PDE
- Strong Stationarity for Optimal Control of the Obstacle Problem with Control Constraints
- Optimal Control of Nonsmooth, Semilinear Parabolic Equations
- B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening
- Strong stationarity for a highly nonsmooth optimization problem with control constraints
- Strong Stationarity Conditions for Optimal Control Problems Governed by a Rate-Independent Evolution Variational Inequality
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