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We analyze the control of the motion of a charged particle by means of an external electric field. The system is constrained to move along a given direction. The goal of the control is to change the speed of the particle in a fixed time…

Optimization and Control · Mathematics 2020-01-22 V. Martikyan , D. Guéry-Odelin , D. Sugny

In this project, we attempt to optimize a landing trajectory of a rocket. The goal is to minimize the total fuel consumption during the landing process using different techniques. Once the optimal and feasible trajectory is generated using…

Artificial Intelligence · Computer Science 2024-05-28 Junhao Yu , Jiarun Wei

This paper shows how to find lower bounds on, and sometimes solve globally, a large class of nonlinear optimal control problems with impulsive controls using semi-definite programming (SDP). This is done by relaxing an optimal control…

Optimization and Control · Mathematics 2011-10-18 Mathieu Claeys , Denis Arzelier , Didier Henrion , Jean-Bernard Lasserre

Capturing disused satellites in orbit and their controlled reentry is the aim of the DEOS space mission. Satellites that ran out of fuel or got damaged pose a threat to working projects in orbit. Additionally, the reentry of such objects…

Optimization and Control · Mathematics 2012-04-02 Johannes Michael , Kurt Chudej , Jürgen Pannek

Optimal Transport, a theory for optimal allocation of resources, is widely used in various fields such as astrophysics, machine learning, and imaging science. However, many applications impose elementwise constraints on the transport plan…

Optimization and Control · Mathematics 2022-06-28 Zixuan Cang , Qing Nie , Yanxiang Zhao

Reversibility is a key property of Markov chains, central to algorithms such as Metropolis-Hastings and other MCMC methods. Yet many applications yield non-reversible chains, motivating the problem of approximating them by reversible ones…

Numerical Analysis · Mathematics 2026-02-27 Stefano Cipolla , Fabio Durastante , Miryam Gnazzo , Beatrice Meini

Control of systems operating in unexplored environments is challenging due to lack of complete model knowledge. Additionally, under measurement noises, data collected from onboard sensors are of limited accuracy. This paper considers…

Systems and Control · Computer Science 2018-11-26 Dantong Ge , Melkior Ornik , Ufuk Topcu

Many complex systems obey to optimality conditions that are usually not simple. Conflicting traits often interact making a Multi Objective Optimization (MOO) approach necessary. Recent MOO research on complex systems report about the Pareto…

Physics and Society · Physics 2015-09-16 Luís F. Seoane , Ricard Solé

In this article we approach a class of stochastic reachability problems with state constraints from an optimal control perspective. Preceding approaches to solving these reachability problems are either confined to the deterministic setting…

Optimization and Control · Mathematics 2017-11-27 Peyman Mohajerin Esfahani , Debasish Chatterjee , John Lygeros

To fulfill the vision for large-scale urban air mobility, air-taxi concepts must be carefully designed and optimized for their intended mission. Proposed air-taxi missions contain dynamic segments that are dominated by nonlinear dynamics.…

Optimization and Control · Mathematics 2025-04-08 Nicholas C. Orndorff , John T. Hwang

In this paper, we propose a novel methodology for path planning and scheduling for multi-robot navigation that is based on optimal transport theory and model predictive control. We consider a setup where $N$ robots are tasked to navigate to…

Robotics · Computer Science 2025-09-01 Usman A. Khan , Mouhacine Benosman , Wenliang Liu , Federico Pecora , Joseph W. Durham

Multicopters are becoming increasingly important in both civil and military fields. Currently, most multicopter propulsion systems are designed by experience and trial-and-error experiments, which are costly and ineffective. This paper…

Systems and Control · Computer Science 2019-04-09 Xunhua Dai , Quan Quan , Jinrui Ren , Kai-Yuan Cai

We study an optimal process control problem with multiple assignable causes. The process is initially in-control but is subject to random transition to one of multiple out-of-control states due to assignable causes. The objective is to find…

Optimization and Control · Mathematics 2012-12-12 Jue Wang , Chi-Guhn Lee

In many resource-limited optimal control problems, multiple constraints may be enforced that are jointly infeasible due to external factors such as subsystem failures, unexpected disturbances, or fuel limitations. In this manuscript, we…

Optimization and Control · Mathematics 2023-11-06 Natalia Pavlasek , Sarah H. Q. Li , Behçet Açıkmeşe , Meeko Oishi , Claus Danielson

The paper provides a new approach to utilizing space environmental forces in time- and energy-optimal, propellant-less spacecraft rendezvous missions. Considering the nonlinear form of the relative dynamic equations, rendezvous missions are…

Space Physics · Physics 2023-03-30 Mohamed Shouman , Ahmed Atallah , Mohammad S. Ramadan

This letter shows that optimizing the transmit powers along with optimally designed nonorthogonal pilots can significantly reduce pilot contamination and improve the overall throughput of the uplink multi-cell massive multiple-input…

Information Theory · Computer Science 2019-12-24 Xihan Chen , Kaiming Shen , Hei Victor Cheng , An Liu , Wei Yu , Min-Jian Zhao

Distributionally robust optimal control (DROC) is gaining interest. This study presents a reformulation method for discrete DROC (DDROC) problems to design optimal control policies under a worst-case distributional uncertainty. The…

Optimization and Control · Mathematics 2025-10-22 Yuma Shida , Yuji Ito

This paper presents a new fast and robust algorithm that provides fuel-optimal impulsive control input sequences that drive a linear time-variant system to a desired state at a specified time. This algorithm is applicable to a broad class…

Optimization and Control · Mathematics 2020-10-06 Adam W. Koenig , Simone D'Amico

In this article we analyze the optimal control strategy for rotating a monitored qubit from an initial pure state to an orthogonal state in minimum time. This strategy is described for two different cost functions of interest which do not…

Optimization and Control · Mathematics 2012-11-27 Srinivas Sridharan , Masahiro Yanagisawa , Joshua Combes

Dynamical structures in the circular restricted three-body problem (CR3BP) are fundamental for designing low-energy transfers, as they aid in analyzing phase space transport and designing desirable trajectories. One of these dynamical…

Chaotic Dynamics · Physics 2026-05-14 Naoki Hiraiwa , Mai Bando , Yuzuru Sato , Shinji Hokamoto