Dynamical systems coupled with monotone set-valued operators: Formalisms, applications, well-posedness, and stability
B Brogliato, A Tanwani - Siam Review, 2020 - SIAM
This survey article addresses the class of continuous-time systems where a system modeled
by ordinary differential equations is coupled with a static or time-varying set-valued operator …
by ordinary differential equations is coupled with a static or time-varying set-valued operator …
[图书][B] Variational analysis and applications
BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
An augmented Lagrangian method for optimization problems with structured geometric constraints
This paper is devoted to the theoretical and numerical investigation of an augmented
Lagrangian method for the solution of optimization problems with geometric constraints …
Lagrangian method for the solution of optimization problems with geometric constraints …
Optimal control of a non-smooth semilinear elliptic equation
C Christof, C Clason, C Meyer, S Walther - arXiv preprint arXiv …, 2017 - arxiv.org
This paper is concerned with an optimal control problem governed by a non-smooth
semilinear elliptic equation. We show that the control-to-state mapping is directionally …
semilinear elliptic equation. We show that the control-to-state mapping is directionally …
Comparison of optimality systems for the optimal control of the obstacle problem
F Harder, G Wachsmuth - GAMM‐Mitteilungen, 2018 - Wiley Online Library
Comparison of optimality systems for the optimal control of the obstacle problem Page 1
GAMM-Mitt. 40, No. 4, 312 – 338 (2017) / DOI 10.1002/gamm.201740004 Comparison of …
GAMM-Mitt. 40, No. 4, 312 – 338 (2017) / DOI 10.1002/gamm.201740004 Comparison of …
Optimality conditions, approximate stationarity, and applications–a story beyond Lipschitzness
AY Kruger, P Mehlitz - ESAIM: Control, Optimisation and Calculus of …, 2022 - esaim-cocv.org
Approximate necessary optimality conditions in terms of Frechet subgradients and normals
for a rather general optimization problem with a potentially non-Lipschitzian objective …
for a rather general optimization problem with a potentially non-Lipschitzian objective …
Bilevel optimal control: theory, algorithms, and applications
In this chapter, we are concerned with inverse optimal control problems, ie, optimization
models which are used to identify parameters in optimal control problems from given …
models which are used to identify parameters in optimal control problems from given …
Optimality conditions for the simple convex bilevel programming problem in Banach spaces
S Franke, P Mehlitz, M Pilecka - Optimization, 2018 - Taylor & Francis
The simple convex bilevel programming problem is a convex minimization problem whose
feasible set is the solution set of another convex optimization problem. Such problems …
feasible set is the solution set of another convex optimization problem. Such problems …
Contributions to complementarity and bilevel programming in Banach spaces
P Mehlitz - 2017 - tubaf.qucosa.de
Abstract (EN) In this thesis, we derive necessary optimality conditions for bilevel
programming problems (BPPs for short) in Banach spaces. This rather abstract setting …
programming problems (BPPs for short) in Banach spaces. This rather abstract setting …
Optimal control problems with control complementarity constraints: existence results, optimality conditions, and a penalty method
C Clason, Y Deng, P Mehlitz… - Optimization Methods and …, 2020 - Taylor & Francis
ABSTRACT A special class of optimal control problems with complementarity constraints on
the control functions is studied. It is shown that such problems possess optimal solutions …
the control functions is studied. It is shown that such problems possess optimal solutions …