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This article studies unbalanced optimal transport (UOT) and its dynamical extension, unbalanced density control (UDC), for a class of constrained discrete-time linear systems. UOT compares measures with unequal total mass by balancing…

最优化与控制 · 数学 2026-05-08 Haruto Nakashima , Siddhartha Ganguly , Kenji Kashima

The use of electric low-thrust propulsion systems for orbit maneuvers is becoming a popular choice among satellite manufacturers due to their inherent merits over their chemical counterparts. Many designers choose to incorporate multiple of…

系统与控制 · 电气工程与系统科学 2024-12-31 Ahmed Mahfouz , Gabriella Gaias , Florio Dalla Vedova , Holger Voos

Following [21, 23], the present work investigates a new relative entropy-regularized algorithm for solving the optimal transport on a graph problem within the randomized shortest paths formalism. More precisely, a unit flow is injected into…

机器学习 · 计算机科学 2021-09-21 Sylvain Courtain , Guillaume Guex , Ilkka Kivimaki , Marco Saerens

In this paper, we consider the problem of optimizing the trajectory of an Unmanned Aerial Vehicle (UAV) Base Station (BS). We consider a map characterized by a traffic intensity of users to be served. The UAV BS must travel from a given…

最优化与控制 · 数学 2018-12-21 Marceau Coupechoux , Jérôme Darbon , Jean-Marc Kélif , Marc Sigelle

Cellular-connected unmanned aerial vehicles (UAVs) are expected to play an increasingly important role in future wireless networks. To facilitate the reliable navigation for cellular-connected UAVs, channel knowledge map (CKM) is considered…

信息论 · 计算机科学 2025-12-09 Yuxuan Song , Haiquan Lu , Chiya Zhang , Beixiong Zheng , Yong Zeng

This paper focuses on multi-block optimization problems over transport polytopes, which underlie various applications including strongly correlated quantum physics and machine learning. Conventional block coordinate descent-type methods for…

最优化与控制 · 数学 2024-08-27 Yukuan Hu , Mengyu Li , Xin Liu , Cheng Meng

The problem of minimizing the transfer time between periodic orbits in the Earth-Moon elliptic restricted three-body problem using a multi-mode propulsion system is considered. By employing the true anomaly on the primary orbit as the…

最优化与控制 · 数学 2025-09-10 George V. Haman , Anil V. Rao

Considering uncertainties and disturbances is an important, yet challenging, step in successful decision making. The problem becomes more challenging in safety-constrained environments. In this paper, we propose a robust and safe trajectory…

系统与控制 · 电气工程与系统科学 2022-03-29 Hassan Almubarak , Evangelos A. Theodorou , Nader Sadegh

Numerous real-world applications of uncertain multiobjective optimization problems (UMOPs) can be found in science, engineering, business, and management. To handle the solution of uncertain optimization problems, robust optimization is a…

最优化与控制 · 数学 2025-03-11 Shubham Kumar , Nihar Kumar Mahatoa , Debdas Ghosh

Navigation of a team of autonomous underwater vehicles (AUVs) coordinated by an unmanned surface vehicle (USV) is efficient and reliable for deep ocean exploration. AUVs depart from and return to the USV after collaborative navigation, data…

系统与控制 · 电气工程与系统科学 2025-05-13 Mohsen Eskandari , Andrey V. Savkin , Mohammad Deghat

We study the Unbalanced Optimal Transport (UOT) between two measures of possibly different masses with at most $n$ components, where the marginal constraints of standard Optimal Transport (OT) are relaxed via Kullback-Leibler divergence…

最优化与控制 · 数学 2024-01-09 Quang Minh Nguyen , Hoang H. Nguyen , Yi Zhou , Lam M. Nguyen

In order to solve continuous-time optimal control problems, direct methods transcribe the infinite-dimensional problem to a nonlinear program (NLP) using numerical integration methods. In cases where the integration error can be manipulated…

最优化与控制 · 数学 2025-03-18 Jakob Harzer , Jochem De Schutter , Moritz Diehl

In this paper, an algorithm for Unmanned Aircraft Systems Traffic Management (UTM) for a finite number of unmanned aerial vehicles (UAVs) is proposed. This algorithm is developed by combining the Rapidly-Exploring Random Trees (RRT) and…

机器人学 · 计算机科学 2023-03-01 Himanshu , Jinraj V Pushpangathan , Harikumar Kandath

This paper presents a machine learning approach for tuning the parameters of a family of stabilizing controllers for orbital tracking. An augmented random search algorithm is deployed, which aims at minimizing a cost function combining…

系统与控制 · 电气工程与系统科学 2023-08-08 Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani , Mirko Leomanni , Renato Quartullo

Despite their abundance in robotics and nature, underactuated systems remain a challenge for control engineering. Trajectory optimization provides a generally applicable solution, however its efficiency strongly depends on the skill of the…

机器人学 · 计算机科学 2020-03-04 Christian Eilers , Jonas Eschmann , Robin Menzenbach , Boris Belousov , Fabio Muratore , Jan Peters

Low-altitude economy includes the application of unmanned aerial vehicles (UAVs) serving ground robots. This paper investigates the 3-dimensional (3D) trajectory and communication optimization for low-altitude air-ground cooperation…

信息论 · 计算机科学 2025-09-16 Menghao Hu , Tong Zhang , Shuai Wang , Chiya Zhang , Changyang She , Gaojie Chen , Miaowen Wen

This paper presents a tutorial overview of path integral (PI) control approaches for stochastic optimal control and trajectory optimization. We concisely summarize the theoretical development of path integral control to compute a solution…

机器人学 · 计算机科学 2023-12-05 Muhammad Kazim , JunGee Hong , Min-Gyeom Kim , Kwang-Ki K. Kim

This paper deals with Interior Point Methods (IPMs) for Optimal Control Problems (OCPs) with pure state and mixed constraints. This paper establishes a complete proof of convergence of IPMs for a general class of OCPs. Convergence results…

最优化与控制 · 数学 2024-06-19 Paul Malisani

We propose a sampling-based trajectory optimization methodology for constrained problems. We extend recent works on stochastic search to deal with box control constraints,as well as nonlinear state constraints for discrete dynamical…

最优化与控制 · 数学 2019-11-13 George I. Boutselis , Ziyi Wang , Evangelos A. Theodorou

This article concerns the problem of computing solutions to state-constrained optimal control problems whose trajectory is affected by a flow field. This general mathematical framework is particularly pertinent to the requirements…

最优化与控制 · 数学 2022-06-30 Roman Chertovskih , Nathalie T. Khalil , Dmitry Karamzin , Fernando Lobo Pereira