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Closed-loop optimal control design for high-dimensional nonlinear systems has been a long-standing challenge. Traditional methods, such as solving the associated Hamilton-Jacobi-Bellman equation, suffer from the curse of dimensionality.…

Optimization and Control · Mathematics 2026-01-01 Xuanxi Zhang , Jihao Long , Wei Hu , Weinan E , Jiequn Han

Non-prehensile manipulation in high-dimensional systems is challenging for a variety of reasons. One of the main reasons is the computationally long planning times that come with a large state space. Trajectory optimisation algorithms have…

Robotics · Computer Science 2024-09-13 David Russell , Rafael Papallas , Mehmet Dogar

We propose GameOpt: a novel hybrid approach to cooperative intersection control for dynamic, multi-lane, unsignalized intersections. Safely navigating these complex and accident prone intersections requires simultaneous trajectory planning…

Robotics · Computer Science 2022-03-21 Nilesh Suriyarachchi , Rohan Chandra , John S. Baras , Dinesh Manocha

Platooning connected and autonomous vehicles (CAVs) provide significant benefits in terms of traffic efficiency and fuel economy. However, most existing platooning systems assume the availability of pre-determined plans, which is not…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Xi Xiong , Maonan Wang , Dengfeng Sun , Li Jin

This paper presents a method to approximately solve stochastic optimal control problems in which the cost function and the system dynamics are polynomial. For stochastic systems with polynomial dynamics, the moments of the state can be…

Optimization and Control · Mathematics 2017-02-24 Andrew Lamperski , Khem Raj Ghusinga , Abhyudai Singh

Trajectory planning and control have historically been separated into two modules in automated driving stacks. Trajectory planning focuses on higher-level tasks like avoiding obstacles and staying on the road surface, whereas the controller…

Robotics · Computer Science 2022-09-21 Rowan Dempster , Mohammad Al-Sharman , Derek Rayside , William Melek

We consider the problem of controlling the movement of multiple cooperating agents so as to minimize an uncertainty metric associated with a finite number of targets. In a one-dimensional mission space, we adopt an optimal control framework…

Optimization and Control · Mathematics 2016-03-15 Nan Zhou , Xi Yu , Sean B. Andersson , Christos G. Cassandras

Coordinating multiple autonomous agents to reach a target region while avoiding collisions and maintaining communication connectivity is a core problem in multi-agent systems. In practice, agents have a limited communication range. Thus,…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Shiyu Cheng , Luyao Niu , Bhaskar Ramasubramanian , Andrew Clark , Radha Poovendran

Traditional decision and planning frameworks for self-driving vehicles (SDVs) scale poorly in new scenarios, thus they require tedious hand-tuning of rules and parameters to maintain acceptable performance in all foreseeable cases.…

Robotics · Computer Science 2021-08-02 Peide Cai , Hengli Wang , Yuxiang Sun , Ming Liu

We consider a discrete-time linear-quadratic Gaussian control problem in which we minimize a weighted sum of the directed information from the state of the system to the control input and the control cost. The optimal control and sensing…

Systems and Control · Electrical Eng. & Systems 2020-04-14 Murat Cubuktepe , Takashi Tanaka , Ufuk Topcu

Autonomous marine vehicles play an essential role in many ocean science and engineering applications. Planning time and energy optimal paths for these vehicles to navigate in stochastic dynamic ocean environments is essential to reduce…

Artificial Intelligence · Computer Science 2021-09-21 Rohit Chowdhury , Deepak Subramani

Scalable addressing of high dimensional constrained combinatorial optimization problems is a challenge that arises in several science and engineering disciplines. Recent work introduced novel application of graph neural networks for solving…

Optimization and Control · Mathematics 2024-05-20 Nasimeh Heydaribeni , Xinrui Zhan , Ruisi Zhang , Tina Eliassi-Rad , Farinaz Koushanfar

Optimal control holds great potential to improve a variety of robotic applications. The application of optimal control on-board limited platforms has been severely hindered by the large computational requirements of current state of the art…

Robotics · Computer Science 2021-09-23 Shuo Li , Ekin Ozturk , Christophe De Wagter , Guido C. H. E. de Croon , Dario Izzo

We propose a novel approach to optimize fleet management by combining multi-agent reinforcement learning with graph neural network. To provide ride-hailing service, one needs to optimize dynamic resources and demands over spatial domain.…

Machine Learning · Computer Science 2021-08-09 Juhyeon Kim , Kihyun Kim

Probabilistic sampling methods have become very popular to solve single-shot path planning problems. Rapidly-exploring Random Trees (RRTs) in particular have been shown to be very efficient in solving high dimensional problems. Even though…

Artificial Intelligence · Computer Science 2009-12-03 Nicolas A. Barriga , Mauricio Araya-López , Mauricio Solar

A long-standing challenge is designing multi-scale structures with good connectivity between cells while optimizing each cell to reach close to the theoretical performance limit. We propose a new method for direct multi-scale topology…

Neural and Evolutionary Computing · Computer Science 2025-02-21 Hongrui Chen , Xingchen Liu , Levent Burak Kara

This paper investigates the finite-horizon optimal control (FHOC) problem of Boolean control networks (BCNs) from a graph theory perspective. We first formulate two general problems to unify various special cases studied in the literature:…

Optimization and Control · Mathematics 2019-11-01 Shuhua Gao , Changkai Sun , Cheng Xiang , Kairong Qin , Tong Heng Lee

We consider a probabilistic model for large-scale task allocation problems for multi-agent systems, aiming to determine an optimal deployment strategy that minimizes the overall transport cost. Specifically, we assign transportation agents…

Systems and Control · Electrical Eng. & Systems 2025-03-13 Anqi Dong , Karl H. Johansson , Johan Karlsson

In this paper we present a new steepest-descent type algorithm for convex optimization problems. Our algorithm pieces the unknown into sub-blocs of unknowns and considers a partial optimization over each sub-bloc. In quadratic optimization,…

Optimization and Control · Mathematics 2015-01-15 Mohamed Kamel Riahi

Path planning plays a crucial role in various autonomy applications, and RRT* is one of the leading solutions in this field. In this paper, we propose the utilization of vertex-based networks to enhance the sampling process of RRT*, leading…

Artificial Intelligence · Computer Science 2023-07-17 Yuanhang Zhang , Jundong Liu
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