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This paper investigates the optimal control problem for a class of parabolic equations where the diffusion coefficient is influenced by a control function acting nonlocally. Specifically, we consider the optimization of a cost functional…

Optimization and Control · Mathematics 2025-03-11 Stefana-Lucia Anita , Luca Di Persio

Generally, the normal displacement-based formation control has a sensing mode that requires the agent not only to have certain knowledge of its direction, but also to gather its local information characterized by nonnegative coupling…

Optimization and Control · Mathematics 2023-06-06 Zhen Li , Yang Tang , Yongqing Fan , Tingwen Huang

We explore theoretically the navigation of an active particle based on delayed feedback control. The delayed feedback enters in our expression for the particle orientation which, for an active particle, determines (up to noise) the…

Statistical Mechanics · Physics 2019-07-24 S. M. J. Khadem , Sabine H. L. Klapp

We investigate several control strategies for the transport of an excitation along a spin chain. We demonstrate that fast, high fidelity transport can be achieved using protocols designed with differentiable programming. Building on this,…

Quantum Physics · Physics 2022-11-30 Luuk Coopmans , Steve Campbell , Gabriele De Chiara , Anthony Kiely

In formation control, an ensemble of autonomous agents is required to stabilize at a given configuration in the plane, doing so while agents are allowed to observe only a subset of the ensemble. As such, formation control provides a rich…

Optimization and Control · Mathematics 2011-10-07 M. -A. Belabbas

In this work, we study the control constrained distributed optimal control of a stationary doubly diffusive flow model. For the control problem, we use a well-posedness analysis based on minimal assumptions on data and domain. We show the…

Optimization and Control · Mathematics 2025-06-13 Jai Tushar , Arbaz Khan , Manil T. Mohan

The positive impacts of platooning on travel time reliability, congestion, emissions, and energy consumption have been shown for homogeneous roadway segments. However, speed limit changes frequently throughout the transportation network,…

Systems and Control · Computer Science 2017-09-29 Sina Arefizadeh , Alireza Talebpour , Igor Zelenko

The theory of controlled mechanical systems of [6, 3, 4] is extended to the case of ideal incompressible fluids consisting of charged particles in the presence of an external magnetic field. The resulting control is of feedback type and…

Mathematical Physics · Physics 2021-03-10 Simon Hochgerner

The smoothing distribution is the conditional distribution of the diffusion process in the space of trajectories given noisy observations made continuously in time. It is generally difficult to sample from this distribution. We use the…

Probability · Mathematics 2025-03-07 Oskar Eklund , Annika Lang , Moritz Schauer

This paper addresses the problem of consensus tracking with fixed-time convergence, for leader-follower multi-agent systems with double-integrator dynamics, where only a subset of followers has access to the state of the leader. The control…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Miguel A. Trujillo , Rodrigo Aldana-López , David Gomez Gutierrez , Michael Defoort , Javier Ruiz Leon , Hector M. Becerra

We study the controllability of a Partial Differential Equation of transport type, that arises in crowd models. We are interested in controlling it with a control being a vector field, representing a perturbation of the velocity, localized…

Optimization and Control · Mathematics 2020-04-02 Michel Duprez , Morgan Morancey , Francesco Rossi

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

We discuss the control of a human crowd whose dynamics is governed by a regularized version of Hughes' model, cf. Hughes: A continuum theory for the flow of pedestrians. Transportation research part B: methodological, 36 (2002). We assume…

Optimization and Control · Mathematics 2020-11-10 Roland Herzog , Jan-Frederik Pietschmann , Max Winkler

In this paper it is established that any jointly controllable, jointly observable, multi-channel, discrete or continuous time linear system with a strongly connected neighbor (communication) graph can be exponentially stabilized with any…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Fengjiao Liu , Lili Wang , Daniel Fullmer , A. Stephen Morse

This paper considers a group of mobile autonomous agents moving in Euclidean space with point mass dynamics. We introduce a set of coordination control laws that enable the group to generate the desired stable flocking motion. The control…

Statistics Theory · Mathematics 2007-06-13 Long Wang

In the last years, a growing number of challenging applications in navigation, logistics, and tourism were modeled as orienteering problems. This problem has been proposed in relation to a sport race where certain control points must be…

Optimization and Control · Mathematics 2022-01-04 Fabio Bagagiolo , Adriano Festa , Luciano Marzufero

The major challenge to improve deterministic single ion sources is to control the position and momentum of each ion. Based on the extra information given by the electron created in a photoionization process, the trajectory of the correlated…

Instrumentation and Detectors · Physics 2019-07-16 C. Lopez , A. Trimeche , D. Comparat , Y. J. Picard

An optimal control strategy is developed to construct nanostructures of desired geometry along line segments by means of directed self-assembly of charged particles. Such a control strategy determines the electric potentials of a set of…

Dynamical Systems · Mathematics 2016-03-02 Arash Komaee , Paul I. Barton

This paper presents a novel problem of creating and regulating localization and navigation illusions considering two agents: a receiver and a producer. A receiver is moving on a plane localizing itself using the intensity of signals from…

Robotics · Computer Science 2025-04-28 Lorenzo Medici , Steven M. LaValle , Basak Sakcak

Controlling the shape and position of moving and pinned droplets on a solid surface is an important feature often found in microfluidic applications. However, automating them, e.g., for high-throughput applications, does rarely involve…

Fluid Dynamics · Physics 2020-07-09 Henning Bonart , Christian Kahle , Jens-Uwe Repke