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In this paper, the authors study the distributed optimal control of a system of three evolutionary equations involving fractional powers of three selfadjoint, monotone, unbounded linear operators having compact resolvents. The system is a…

Optimization and Control · Mathematics 2019-07-25 Pierluigi Colli , Gianni Gilardi , Jürgen Sprekels

We present a formulation of an optimal control problem for a two-dimensional diffusion process governed by a Fokker-Planck equation to achieve a nonequilibrium steady state with a desired circulation while accelerating convergence toward…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Norihisa Namura , Hiroya Nakao

Inference-time controllable generation is essential for real-world applications of unconditional diffusion models. However, most existing techniques focus on individual samples, struggling in applications that require the sample population…

Machine Learning · Computer Science 2026-05-11 Hao Luan , See-Kiong Ng , Chun Kai Ling

The integration of unmanned aerial vehicles (UAVs) with mobile edge computing (MEC) and Internet of Things (IoT) technology in smart farms is pivotal for efficient resource management and enhanced agricultural productivity sustainably. This…

Signal Processing · Electrical Eng. & Systems 2024-07-30 Tingnan Bao , Aisha Syed , William Sean Kennedy , Melike Erol-Kantarci

In precision crop protection, (target-orientated) object detection in image processing can help navigate Unmanned Aerial Vehicles (UAV, crop protection drones) to the right place to apply the pesticide. Unnecessary application of non-target…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Zhenwang Qin , Wensheng Wang , Karl-Heinz Dammer , Leifeng Guo , Zhen Cao

We review some recent work in fast, efficient and accurate methods to compute viscosity solutions and non-viscosity solutions to static Hamilton-Jacobi equations which arise in optimal control, anisotropic front propagation, and multiple…

Numerical Analysis · Mathematics 2025-10-20 J. A. Sethian

We consider an optimal control problem that entails the minimization of a nondifferentiable cost functional, fractional diffusion as state equation and constraints on the control variable. We provide existence, uniqueness and regularity…

Numerical Analysis · Mathematics 2017-04-05 Enrique Otárola , Abner J. Salgado

The ground fixed base stations (BSs) are often deployed inflexibly, and have high overheads, as well as are susceptible to the damage from natural disasters, making it impractical for them to continuously collect data from sensor devices.…

Information Theory · Computer Science 2024-03-21 Lingling Liu , Aimin Wang , Geng Sun , Jiahui Li , Hongyang Pan , Tony Q. S. Quek

The present work deals with quantitative two-phase reach-avoid problems on nonlinear control systems. This class of optimal control problem requires the plant's state to visit two (rather than one) target sets in succession while minimizing…

Optimization and Control · Mathematics 2021-02-09 Alexander Weber , Alexander Knoll

The deployment of unmanned aerial vehicles (UAVs) is proliferating as they are effective, flexible and cost-efficient devices for a variety of applications ranging from natural disaster recovery to delivery of goods. We investigate a…

Signal Processing · Electrical Eng. & Systems 2019-09-30 Ali Rahmati , Seyyedali Hosseinalipour , Yavuz Yapici , Xiaofan He , Ismail Guvenc , Huaiyu Dai , Arupjyoti Bhuyan

Anomalous diffusion is a phenomenon that cannot be modeled accurately by second-order diffusion equations, but is better described by fractional diffusion models. The nonlocal nature of the fractional diffusion operators makes substantially…

Numerical Analysis · Mathematics 2018-03-08 K. Mustapha , K. Furati , O. M. Knio , O. Le Maitre

We consider unmanned aerial vehicle (UAV)-assisted wireless communication employing UAVs as relay nodes to increase the throughput between a pair of transmitter and receiver. We focus on developing effective methods to position the UAV(s)…

Signal Processing · Electrical Eng. & Systems 2019-09-12 Seyyedali Hosseinalipour , Ali Rahmati , Huaiyu Dai

This study describes the development of a novel numerical optimization framework to maximize the endurance of unmanned aerial vehicles (UAVs). We address the problem of numerically determining the optimal thrust and cruise angle of attack…

Optimization and Control · Mathematics 2023-03-07 Kareem T. Elgindy

A model for the development of turbulent shear flows, created by non-uniform parallel flows in a confining channel, is used to identify the diffuser shape that maximises pressure recovery when the inflow is non-uniform. Wide diffuser angles…

Fluid Dynamics · Physics 2018-04-09 GP Benham , IJ Hewitt , CP Please , P Bird

This paper investigates unmanned aerial vehicle (UAV) data collection systems with different multiple access schemes, where a rotary-wing UAV is dispatched to collect data from multiple ground nodes (GNs). Our goal is to maximize the…

Information Theory · Computer Science 2021-08-03 Xidong Mu , Yuanwei Liu , Li Guo , Jiaru Lin , Zhiguo Ding

This paper studies a model for the optimal control (by a centralized economic agent which we call the planner) of pollution diffusion over time and space. The controls are the investments in production and depollution and the goal is to…

Theoretical Economics · Economics 2026-01-09 Fausto Gozzi , Marta Leocata , Giulia Pucci

In this paper, we show that unbalanced optimal transport provides a convenient framework to handle reaction and diffusion processes in a unified metric framework. We use a constructive method, alternating minimizing movements for the…

Analysis of PDEs · Mathematics 2017-04-18 Thomas Gallouët , Maxime Laborde , Léonard Monsaingeon

In this paper, we address an optimal distributed control problem for a non-local model of phase-field type, describing the evolution of tumour cells in presence of a nutrient. The model couples a non-local and viscous Cahn-Hilliard equation…

Analysis of PDEs · Mathematics 2023-10-25 Matteo Fornoni

This paper tackles the optimization of the point spread function (PSF) of unmanned aerial vehicle (UAV)-borne multiple-input multiple-output (MIMO) synthetic aperture radar (SAR) tomography systems. A swarm of UAV-borne SAR systems is…

Signal Processing · Electrical Eng. & Systems 2026-05-27 Pouya Fakharizadeh , Mohamed-Amine Lahmeri , Gerhard Krieger , Robert Schober

Early identification of abnormalities in plants is an important task for ensuring proper growth and achieving high yields from crops. Precision agriculture can significantly benefit from modern computer vision tools to make farming…

Computer Vision and Pattern Recognition · Computer Science 2023-10-23 Aminul Huq , Dimitris Zermas , George Bebis
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