Binary control pulse optimization for quantum systems
Quantum control aims to manipulate quantum systems toward specific quantum states or
desired operations. Designing highly accurate and effective control steps is vitally important …
desired operations. Designing highly accurate and effective control steps is vitally important …
[HTML][HTML] A Gauss–Newton-based decomposition algorithm for nonlinear mixed-integer optimal control problems
For the fast approximate solution of Mixed-Integer Non-Linear Programs (MINLPs) arising in
the context of Mixed-Integer Optimal Control Problems (MIOCPs) a decomposition algorithm …
the context of Mixed-Integer Optimal Control Problems (MIOCPs) a decomposition algorithm …
On integer optimal control with total variation regularization on multidimensional domains
P Manns, A Schiemann - SIAM Journal on Control and Optimization, 2023 - SIAM
We consider optimal control problems with integer-valued controls and a total variation
regularization penalty in the objective on domains of dimension two or higher. The penalty …
regularization penalty in the objective on domains of dimension two or higher. The penalty …
Efficient solution of discrete subproblems arising in integer optimal control with total variation regularization
M Severitt, P Manns - INFORMS Journal on Computing, 2023 - pubsonline.informs.org
We consider a class of integer linear programs (IPs) that arise as discretizations of trust-
region subproblems of a trust-region algorithm for the solution of control problems, where …
region subproblems of a trust-region algorithm for the solution of control problems, where …
Discretization of Total Variation in Optimization with Integrality Constraint
A Schiemann, P Manns - arXiv preprint arXiv:2403.08346, 2024 - arxiv.org
We introduce discretizations of infinite-dimensional optimization problems with total variation
regularization and integrality constraints on the optimization variables. We advance the …
regularization and integrality constraints on the optimization variables. We advance the …
On Discrete Subproblems in Integer Optimal Control with Total Variation Regularization in Two Dimensions
P Manns, M Severitt - arXiv preprint arXiv:2403.09213, 2024 - arxiv.org
We analyze integer linear programs which we obtain after discretizing two-dimensional
subproblems arising from a trust-region algorithm for mixed integer optimal control problems …
subproblems arising from a trust-region algorithm for mixed integer optimal control problems …
Hybrid optimal control with mixed-integer Lagrangian methods
V Nikitina, A De Marchi, M Gerdts - arXiv preprint arXiv:2403.06842, 2024 - arxiv.org
Models involving hybrid systems are versatile in their application, but difficult to handle and
optimize efficiently due to their combinatorial nature. This work presents a method to cope …
optimize efficiently due to their combinatorial nature. This work presents a method to cope …
Homotopy trust-region method for phase-field approximations in perimeter-regularized binary optimal control
We consider optimal control problems that have binary-valued control input functions and a
perimeter regularization. We develop and analyze a trust-region algorithm that solves a …
perimeter regularization. We develop and analyze a trust-region algorithm that solves a …
Integer optimal control problems with total variation regularization: Optimality conditions and fast solution of subproblems
J Marko, G Wachsmuth - arXiv preprint arXiv:2207.05503, 2022 - arxiv.org
We investigate local optimality conditions of first and second order for integer optimal control
problems with total variation regularization via a finite-dimensional switching point problem …
problems with total variation regularization via a finite-dimensional switching point problem …
Integer optimal control problems with total variation regularization: Optimality conditions and fast solution of subproblems
J Marko, G Wachsmuth - ESAIM: Control, Optimisation and Calculus …, 2023 - esaim-cocv.org
We investigate local optimality conditions of first and second order for integer optimal control
problems with total variation regularization via a finite-dimensional switching-point problem …
problems with total variation regularization via a finite-dimensional switching-point problem …