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This paper introduces and analyses a continuous optimization approach to solve optimal control problems involving ordinary differential equations (ODEs) and tracking type objectives. Our aim is to determine control or input functions, and…

最优化与控制 · 数学 2024-05-09 Vicky Holfeld , Michael Burger , Claudia Schillings

We consider the problem of using an autonomous agent to persistently monitor a collection of dynamic targets distributed in an environment. We generalize existing work by allowing the agent's dynamics to vary throughout the environment,…

最优化与控制 · 数学 2025-03-03 Jonas Hall , Christos G. Cassandras , Sean B. Andersson

Optimal control of a mobile robot system is formulated. Multiobjective criteria of time and energy is employed. The optimal control problem is formulated as a nonlinear programming problem (NLP). The problem is solved using the direct…

最优化与控制 · 数学 2013-12-30 Mohamad Shahab , Amar Khoukhi , Fouad Al-Sunni

A standard way of finding a feedback law that stabilizes a control system to an operating point is to recast the problem as an infinite horizon optimal control problem. If the optimal cost and the optmal feedback can be found on a large…

最优化与控制 · 数学 2019-04-02 Arthur J. Krener

We consider trajectory optimal control problems in which parameter uncertainty limits the applicability of control trajectories computed prior to travel. Hence, efficient trajectory adjustment is needed to ensure successful travel. However,…

最优化与控制 · 数学 2025-04-01 Riley Link , Ethan Ebbighausen

In many mechatronic applications, controller input costs are negligible and time optimality is of great importance to maximize the productivity by executing fast positioning maneuvers. As a result, the obtained control input has mostly a…

系统与控制 · 电气工程与系统科学 2025-01-28 Joe Ismail , Steven Liu

This article addresses the problem of data-driven numerical optimal control for unknown nonlinear systems. In our scenario, we suppose to have the possibility of performing multiple experiments (or simulations) on the system. Experiments…

系统与控制 · 电气工程与系统科学 2025-06-19 Marco Borghesi , Lorenzo Sforni , Giuseppe Notarstefano

Optimal control of large particle systems with collective dynamics by few agents is a subject of high practical importance (e.g. in evacuation dynamics), but still limited mathematical basis. In particular the transition from discrete…

最优化与控制 · 数学 2016-10-06 Martin Burger , René Pinnau , Andreas Roth , Claudia Totzeck , Oliver Tse

Optimal control of switched systems is challenging due to the discrete nature of the switching control input. The embedding-based approach addresses this challenge by solving a corresponding relaxed optimal control problem with only…

最优化与控制 · 数学 2015-03-25 Hua Chen , Wei Zhang

In this paper, we investigate dynamic optimization problems featuring both stochastic control and optimal stopping in a finite time horizon. The paper aims to develop new methodologies, which are significantly different from those of mixed…

投资组合管理 · 定量金融 2014-06-27 Xiongfei Jian , Xun Li , Fahuai Yi

This work proposes a receding horizon coverage control approach which allows multiple autonomous aerial agents to work cooperatively in order cover the total surface area of a 3D object of interest. The cooperative coverage problem which is…

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

最优化与控制 · 数学 2021-08-18 Yongxin Chen

We study an optimal control problem in which both the objective function and the dynamic constraint contain an uncertain parameter. Since the distribution of this uncertain parameter is not exactly known, the objective function is taken as…

最优化与控制 · 数学 2016-11-29 Jianxiong Ye , Lei Wang , Changzhi Wu , Jie Sun , Kok Lay Teo , Xiangyu Wang

We present a real-time-capable set-based framework for closed-loop predictive control of autonomous systems using tools from computational geometry, dynamic programming, and convex optimization. The control architecture relies on the…

最优化与控制 · 数学 2025-12-09 Abhinav G. Kamath , Abraham P. Vinod , Purnanand Elango , Stefano Di Cairano , Avishai Weiss

We consider a multi-period stochastic control problem where the multivariate driving stochastic factor of the system has known marginal distributions but uncertain dependence structure. To solve the problem, we propose to implement the…

最优化与控制 · 数学 2022-09-13 Erhan Bayraktar , Tao Chen

The minimization of energy-like cost functionals is addressed in the context of optimal control problems. For a general class of dynamical systems, with possibly unstable and nonlinear free dynamics, it is shown that a sequence of solutions…

最优化与控制 · 数学 2022-12-06 Sérgio S. Rodrigues

We describe algorithms, and experimental strategies, for the Pareto optimal control problem of simultaneously driving an arbitrary number of quantum observable expectation values to their respective extrema. Conventional quantum optimal…

量子物理 · 物理学 2009-11-13 Raj Chakrabarti , Rebing Wu , Herschel Rabitz

This paper considers the problem of reachability analysis of control systems with optimal controllers, as a first step towards verifying the safety and correctness of such systems. Despite their appeal in guaranteeing task satisfaction…

系统与控制 · 电气工程与系统科学 2026-04-20 Dylan Le , Joel McCandless , Carlos Varela , Radoslav Ivanov

An unconventional approach for optimal stopping under model ambiguity is introduced. Besides ambiguity itself, we take into account how ambiguity-averse an agent is. This inclusion of ambiguity attitude, via an $\alpha$-maxmin nonlinear…

数理金融 · 定量金融 2021-07-15 Yu-Jui Huang , Xiang Yu

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…

最优化与控制 · 数学 2023-03-07 Kareem T. Elgindy