Strong Stationarity Conditions for Optimal Control Problems Governed by a Rate-Independent Evolution Variational Inequality
From MaRDI portal
Publication:6170427
DOI10.1137/22m1494403zbMath1519.49007arXiv2205.01196OpenAlexW4384560278MaRDI QIDQ6170427
Constantin Christof, Martin Brokate
Publication date: 10 August 2023
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.01196
hysteresisoptimal controlvariational inequalityKurzweil integralrate independencesweeping processpolyhedricitystrong stationaritystop operatorBouligand stationarity
Variational inequalities (49J40) Optimality conditions for problems in abstract spaces (49K27) Hysteresis for ordinary differential equations (34C55) Equations with nonlinear hysteresis operators (47J40) Optimality conditions for problems involving relations other than differential equations (49K21)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weak differentiability of scalar hysteresis operators
- Strong stationarity conditions for a class of optimization problems governed by variational inequalities of the second kind
- Optimal control of a perturbed sweeping process via discrete approximations
- Optimal control of parabolic variational inequalities
- Rate independent Kurzweil processes.
- Contrôle dans les inéquations variationelles elliptiques
- How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
- Conical differentiability for evolution variational inequalities
- Optimal control of a non-smooth semilinear elliptic equation
- Hysteresis and phase transitions
- Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints
- 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
- Optimal control involving sweeping processes
- Rate-independent systems. Theory and application
- Optimal control of a rate-independent evolution equation via viscous regularization
- Optimal control problems with states of bounded variation and hysteresis
- Optimal control of quasistatic plasticity with linear kinematic hardening. III: Optimality conditions
- Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints
- Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
- Mathematical Models in Contact Mechanics
- Mathematical Programs with Complementarity Constraints in Function Space: C- and Strong Stationarity and a Path-Following Algorithm
- Elliptic Partial Differential Equations of Second Order
- No-Gap Second-Order Conditions via a Directional Curvature Functional
- Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities
- Kurzweil–Stieltjes Integral
- Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation
- Multidimensional play operators with arbitraryBVinputs
- Newton and Bouligand derivatives of the scalar play and stop operator
- Strong Stationarity for Optimal Control of Variational Inequalities of the Second Kind
- Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls
- 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
- Optimal control of reaction-diffusion systems with hysteresis
- Comparison of optimality systems for the optimal control of the obstacle problem
