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We present a hybrid method combining a minimizing movement scheme with neural operators for the simulation of phase field-based Willmore flow. The minimizing movement component is based on a standard optimization problem on a regular grid…

Numerical Analysis · Mathematics 2026-02-12 Martin Rumpf , Josua Sassen , Christoph Smoch

Pointwise minimum norm control laws for hybrid dynamical systems are proposed. Hybrid systems are given by differential equations capturing the continuous dynamics or flows, and by difference equations capturing the discrete dynamics or…

Optimization and Control · Mathematics 2020-09-09 Ricardo Sanfelice

We apply theoretically open-loop quantum optimal control techniques to provide methods for the verification of various quantum coherent transport mechanisms in natural and artificial light-harvesting complexes under realistic experimental…

Quantum Physics · Physics 2012-05-01 Filippo Caruso , Simone Montangero , Tommaso Calarco , Susana F. Huelga , Martin B. Plenio

Collision avoidance is one of the most primary requirement in the decentralized multiagent navigations: while the agents are moving towards their own targets, attentions should be paid to avoid the collisions with the others. In this paper,…

Multiagent Systems · Computer Science 2019-11-13 Li Ning , Yong Zhang

This work develops an efficient and accurate optimization algorithm to study the optimal mixing problem driven by boundary control of unsteady Stokes flows, based on the theoretical foundation laid by Hu and Wu in a series of work. The…

Fluid Dynamics · Physics 2023-06-21 Xiaoming Zheng , Weiwei Hu , Jiahong Wu

Within the framework of optimal control theory we develop a simple iterative scheme to determine optimal laser pulses with spectral and fluence constraints. The algorithm is applied to a one-dimensional asymmetric double well where the…

Quantum Physics · Physics 2007-05-23 J. Werschnik , E. K. U. Gross

Bang-bang control is often used to implement a minimal-time shortcut to adiabaticity for efficient transport of atoms in a moving harmonic trap. However, drastic changes of the on-off controller, leading to high transport-mode excitation…

Quantum Physics · Physics 2020-06-24 Yongcheng Ding , Tang-You Huang , Koushik Paul , Minjia Hao , Xi Chen

In this paper, we address the problem of optimal relay placement in a cellular network assuming network densification, with the aim of maximizing cell capacity. In our model, a fraction of radio resources is dedicated to the base-station…

Networking and Internet Architecture · Computer Science 2013-07-17 Jean-Marc Kelif , Marceau Coupechoux , Marc Sigelle

We propose an algorithm for solving the time-dependent shortest path problem in flow fields where the FIFO (first-in-first-out) assumption is violated. This problem variant is important for autonomous vehicles in the ocean, for example,…

Robotics · Computer Science 2019-09-06 James Ju Heon Lee , Chanyeol Yoo , Stuart Anstee , Robert Fitch

This work is concerned with the necessary conditions of optimality for a minimal time control problem $(P)$ for the linearized Navier-Stokes periodic flow in a 2D-channel, subject to a boundary input which acts on the transversal component…

Analysis of PDEs · Mathematics 2020-06-30 Gabriela Marinoschi

We study enhancement of diffusive mixing by fast incompressible time-periodic flows. The class of relaxation-enhancing flows that are especially efficient in speeding up mixing has been introduced in [2]. The relaxation-enhancing property…

Analysis of PDEs · Mathematics 2007-07-02 Alexander Kiselev , Roman Shterenberg , Andrej Zlatos

Networks with hop-by-hop flow control occur in several contexts, from data centers to systems architectures (e.g., wormhole-routing networks on chip). A worst-case end-to-end delay in such networks can be computed using Network Calculus…

Networking and Internet Architecture · Computer Science 2023-07-10 Raffaele Zippo , Giovanni Stea

In this paper we study continuum-marginal optimal transport. Given a time-continuous family of probability marginals, the problem is to recover the minimum-energy velocity field whose flow reproduces every marginal. This problem is the…

Optimization and Control · Mathematics 2026-04-28 Yumiharu Nakano

The complete physical understanding of the optimization of the thermodynamic work still is an important open problem in stochastic thermodynamics. We address this issue using the Hamiltonian approach of linear response theory in finite time…

Statistical Mechanics · Physics 2022-08-18 Pierre Nazé , Sebastian Deffner , Marcus V. S. Bonança

The ability to manipulate and control fluid flows is of great importance in many scientific and engineering applications. Here, a cluster-based control framework is proposed to determine optimal control laws with respect to a cost function…

Fluid Dynamics · Physics 2016-02-18 Eurika Kaiser , Bernd R. Noack , Andreas Spohn , Louis N. Cattafesta , Marek Morzynski

We extend the convergence analysis for methods solving PDE-constrained optimal control problems containing both discrete and continuous control decisions based on relaxation and rounding strategies to the class of first order semilinear…

Optimization and Control · Mathematics 2015-09-15 Falk M. Hante

Driven barrier crossings are pervasive in optical-trapping experiments and steered molecular-dynamics simulations. Despite the high fidelity of control, the freedom in the choice of driving protocol is rarely exploited to improve…

Statistical Mechanics · Physics 2022-07-06 Steven Blaber , David A. Sivak

Carrier frequency and timing synchronization play the fundamental roles in cooperative integrating communication and sensing (ISAC). To mitigate the effects of synchronization error, this paper develops a novel synchronization scheme in…

Signal Processing · Electrical Eng. & Systems 2025-02-03 Qihao Peng , Hong Ren , Zhendong Peng , Cunhua Pan , Maged Elkashlan , Dongming Wang , Jiangzhou Wang , Xiaohu You

Recently, there has been a surge of research on a class of methods called feedback optimization. These are methods to steer the state of a control system to an equilibrium that arises as the solution of an optimization problem. Despite the…

Optimization and Control · Mathematics 2026-02-18 Giannis Delimpaltadakis , Pol Mestres , Jorge Cortés , W. P. M. H. Heemels

In this paper we provide a thorough, rigorous theoretical framework to assess optimality guarantees of sampling-based algorithms for drift control systems: systems that, loosely speaking, can not stop instantaneously due to momentum. We…

Robotics · Computer Science 2015-10-28 Edward Schmerling , Lucas Janson , Marco Pavone