Applied Mathematics in Robotics: Theory, Methods and Applications

A special issue of AppliedMath (ISSN 2673-9909).

Deadline for manuscript submissions: 31 December 2024 | Viewed by 2026

Special Issue Editors


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Guest Editor
Department of Aeronautical and Aviation Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China
Interests: GNSS; GNSS-RTK; GNSS NLOS/multipath mitigation in urban canyons LiDAR-aided GNSS positioning; perception-aided GNSS positioning; LiDAR SLAM in challenging dynamic scenes; navigation; autonomous driving; robotics
Special Issues, Collections and Topics in MDPI journals
Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong, China
Interests: optimization; symbolic computation; robotics; navigation; optimal filtering; orbit determination; hybridization theory
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Robotics is the study and application of intelligent systems that can sense, think, and act. It has broad and promising applications in various fields, such as industry, the military, education, and entertainment. It also depends on the theories and methods of applied mathematics, such as optimization, statistics, probability, logic, graph theory, complex networks, and machine learning. Applied mathematics gives robotics a solid mathematical foundation and also provides tools and ideas for innovation and improvement. This Special Issue collects and showcases the latest advances of applied mathematics in robotics, in terms of theory, methods, and applications. We invite research on different types of robots, such as manipulators, walking robots, soft robots, haptic robots, microrobots, and swarm robots, and on different tasks, such as grasping, manipulation, motion, navigation, collaboration, and interaction. The goal of this Special Issue is to enhance the communication and collaboration between applied mathematics and robotics and to foster the development and application of robotic technology.

Dr. Chengxi Zhang
Dr. Weisong Wen
Dr. Jin Wu
Guest Editors

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Keywords

  • navigation and multi-sensor fusion
  • machine vision and 3D reconstruction
  • space engineering, planning and control
  • mechanics and dynamics
  • GNSS, NLOS/multipath mitigation
  • LiDAR SLAM

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Published Papers (1 paper)

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Review

19 pages, 351 KiB  
Review
Swarm Intelligence-Based Multi-Robotics: A Comprehensive Review
by Luong Vuong Nguyen
AppliedMath 2024, 4(4), 1192-1210; https://doi.org/10.3390/appliedmath4040064 - 2 Oct 2024
Viewed by 1058
Abstract
Swarm Intelligence (SI) represents a paradigm shift in artificial intelligence, leveraging the collective behavior of decentralized, self-organized systems to solve complex problems. This study provides a comprehensive review of SI, focusing on its application to multi-robot systems. We explore foundational concepts, diverse SI [...] Read more.
Swarm Intelligence (SI) represents a paradigm shift in artificial intelligence, leveraging the collective behavior of decentralized, self-organized systems to solve complex problems. This study provides a comprehensive review of SI, focusing on its application to multi-robot systems. We explore foundational concepts, diverse SI algorithms, and their practical implementations by synthesizing insights from various reputable sources. The review highlights how principles derived from natural swarms, such as those of ants, bees, and birds, can be harnessed to enhance the efficiency, robustness, and scalability of multi-robot systems. We explore key advancements, ongoing challenges, and potential future directions. Through this extensive examination, we aim to provide a foundational understanding and a detailed taxonomy of SI research, paving the way for further innovation and development in theoretical and applied contexts. Full article
(This article belongs to the Special Issue Applied Mathematics in Robotics: Theory, Methods and Applications)
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Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: The Application of Gröbner Bases to Robotic Problems
Authors: Ulrike Thomas
Affiliation: Chemnitz University of Technology, Robotics and Human-Machine Interaction Lab, Germany
Abstract: Gröbner-Bases and the Buchberger-Algorithm help to solve robotic problems. But unfortunately, they have not yet been widely used. Only few applications are in robotics are known where the Gröbner-Bases have been applied. Reasons often lie in the inaccuracy and discretization of such robotic problems and also the usage of trigonometric equations, which makes the application of Gröbner-Bases challenging. Thus, this article shows how the Gröbner-Bases can be applied to robotic problems. Solutions will be given for a few kinematic and control problems. The resulted Gröbner-Bases are described, and a generic way is presented how to solve similar problems.

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