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In the present work, we study the optimal control paths in the Zermelo navigation problem from the geometric and differential equations point of view rather than the optimal control point of view, where the latter has been carried out in…

Optimization and Control · Mathematics 2023-04-04 Zohreh Fathia , Behroz Bidabad

The primary goal of reinforcement learning is to develop decision-making policies that prioritize optimal performance without considering risk or safety. In contrast, safe reinforcement learning aims to mitigate or avoid unsafe states. This…

Machine Learning · Computer Science 2024-09-13 Zahra Shahrooei , Ali Baheri

Underactuated systems like sea vessels have degrees of motion that are insufficiently matched by a set of independent actuation forces. In addition, the underlying trajectory-tracking control problems grow in complexity in order to decide…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Mohammed Abouheaf , Wail Gueaieb , Md. Suruz Miah , Davide Spinello

Despite the low dimensionalities of dissipative viscous fluids, reinforcement learning (RL) requires many observables in fluid control problems. This is because the observables are assumed to follow a policy-independent Markov decision…

Fluid Dynamics · Physics 2021-04-30 Akira Kubo , Masaki Shimizu

Microswimmers can acquire information on the surrounding fluid by sensing mechanical queues. They can then navigate in response to these signals. We analyse this navigation by combining deep reinforcement learning with direct numerical…

Fluid Dynamics · Physics 2023-06-21 Krongtum Sankaewtong , John J. Molina , Matthew S. Turner , Ryoichi Yamamoto

Micro robotics is quickly emerging to be a promising technological solution to many medical treatments with focus on targeted drug delivery. They are effective when working in swarms whose individual control is mostly infeasible owing to…

Robotics · Computer Science 2023-07-03 Akshatha Jagadish , Manoj Varma

This study investigates active flow control in two-dimensional flows at a Reynolds number of 100 using Deep Reinforcement Learning (DRL). We utilize DRL to develop flow control strategies that enhance energy efficiency and minimize energy…

Fluid Dynamics · Physics 2025-07-22 Wang Jia , Hang Xu

Creating safe paths in unknown and uncertain environments is a challenging aspect of leader-follower formation control. In this architecture, the leader moves toward the target by taking optimal actions, and followers should also avoid…

Robotics · Computer Science 2024-02-28 Behnaz Hadi , Alireza Khosravi , Pouria Sarhadi

Autonomous driving has garnered significant attention in recent years, especially in optimizing vehicle performance under varying conditions. This paper addresses the challenge of maintaining maximum speed stability in low-speed autonomous…

Artificial Intelligence · Computer Science 2024-12-30 Benny Bao-Sheng Li , Elena Wu , Hins Shao-Xuan Yang , Nicky Yao-Jin Liang

We design new navigation strategies for travel time optimization of microscopic self-propelled particles in complex and noisy environments. In contrast to strategies relying on the results of optimal control theory, these protocols allow…

Statistical Mechanics · Physics 2022-10-05 Lorenzo Piro , Benoît Mahault , Ramin Golestanian

Reinforcement learning continuously optimizes decision-making based on real-time feedback reward signals through continuous interaction with the environment, demonstrating strong adaptive and self-learning capabilities. In recent years, it…

Robotics · Computer Science 2024-08-15 Zixiang Wang , Hao Yan , Yining Wang , Zhengjia Xu , Zhuoyue Wang , Zhizhong Wu

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…

Optimization and Control · Mathematics 2022-06-30 Roman Chertovskih , Nathalie T. Khalil , Dmitry Karamzin , Fernando Lobo Pereira

Traffic flow prediction is an important part of smart transportation. The goal is to predict future traffic conditions based on historical data recorded by sensors and the traffic network. As the city continues to build, parts of the…

Machine Learning · Statistics 2022-12-27 Yanan Xiao , Minyu Liu , Zichen Zhang , Lu Jiang , Minghao Yin , Jianan Wang

Navigating fluently around pedestrians is a necessary capability for mobile robots deployed in human environments, such as buildings and homes. While research on social navigation has focused mainly on the scalability with the number of…

Robotic navigation concerns the task in which a robot should be able to find a safe and feasible path and traverse between two points in a complex environment. We approach the problem of robotic navigation using reinforcement learning and…

Robotics · Computer Science 2019-06-18 Muhammad Usama , Dong Eui Chang

When navigating complex environments, animals often combine multiple strategies to mitigate the effects of external disturbances. These modalities often correspond to different sources of information, leading to speed-accuracy trade-offs.…

Statistical Mechanics · Physics 2025-09-19 Francesco Mori , L. Mahadevan

The Karman Vortex Street has been investigated for over a century and offers a reference case for investigation of flow stability and control of high dimensionality, non-linear systems. Active flow control, while of considerable interest…

Fluid Dynamics · Physics 2018-09-03 Jean Rabault , Ulysse Reglade , Nicolas Cerardi , Miroslav Kuchta , Atle Jensen

The development of self-propelled particles at the micro- and the nanoscale has sparked a huge potential for future applications in active matter physics, microsurgery, and targeted drug delivery. However, while the latter applications…

Soft Condensed Matter · Physics 2022-08-24 Mahdi Nasiri , Benno Liebchen

Navigation is a complex skill with a long history of research in animals and humans. In this work, we simulate the Morris Water Maze in 2D to train deep reinforcement learning agents. We perform automatic classification of navigation…

Machine Learning · Computer Science 2023-11-09 Andrew Liu , Alla Borisyuk

Traffic congestion in metropolitan areas is a world-wide problem that can be ameliorated by traffic lights that respond dynamically to real-time conditions. Recent studies applying deep reinforcement learning (RL) to optimize single traffic…

Machine Learning · Computer Science 2019-12-10 Zhi Zhang , Jiachen Yang , Hongyuan Zha