Binary control pulse optimization for quantum systems

X Fei, LT Brady, J Larson, S Leyffer, S Shen - Quantum, 2023 - quantum-journal.org
Quantum control aims to manipulate quantum systems toward specific quantum states or
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

A Bürger, C Zeile, A Altmann-Dieses, S Sager, M Diehl - Automatica, 2023 - Elsevier
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 …

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 …

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 …

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 …

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 …

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 …

Homotopy trust-region method for phase-field approximations in perimeter-regularized binary optimal control

P Manns, V Nikolić - arXiv preprint arXiv:2310.12478, 2023 - arxiv.org
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 …

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 …

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 …