蛛网电阻网络两点电阻的优化公式及其势的应用

管钰; 江晓雨; 郑彦鹏; 江兆林

doi:10.1631/FITEE.2400613

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蛛网电阻网络两点电阻的优化公式及其势的应用

常规文章 | Updated：2025-07-02

- 蛛网电阻网络两点电阻的优化公式及其势的应用
  Enhanced Publication
- An optimized formula for the two-point resistance of a cobweb resistance network and its potential application
- “在电阻网络领域，本文优化了具有2r边界条件的m×n蛛网电阻网络中两点电阻的计算公式。通过使用切比雪夫多项式和双曲函数，提高了等效电阻的计算效率，简化了推导过程。本文还讨论了特殊情况下的等效阻力公式，并比较了优化前后的计算效率。通过势公式进行路径规划的创新尝试，提出了一种基于蛛网势函数的启发式算法，用于在有障碍物的蛛网环境中进行机器人路径规划。”
- 信息与电子工程前沿（英文） 2025年26卷第6期页码：946-958
- Affiliations：
  
  1.School of Information Science and Engineering, Linyi University, Linyi 276000, China
  2.School of Automation and Electrical Engineering, Linyi University, Linyi 276000, China
  3.School of Mathematics and Statistics, Linyi University, Linyi 276000, China
- Author bio：
  
  ‡ Corresponding authors
- Funds：
  
  National Natural Science Foundation of China(12101284);Natural Science Foundation of Shandong Province(ZR2022MA092);Department of Education of Shandong Province(2023KJ214)
- DOI：10.1631/FITEE.2400613
  中图分类号： TM13;O441.1
- 收稿：2024-07-21，
  
  修回：2024-10-10，
  
  纸质出版：2025-06
- Accepted：
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管钰, 江晓雨, 郑彦鹏, 等. 蛛网电阻网络两点电阻的优化公式及其势的应用[J]. 信息与电子工程前沿（英文）, 2025,26(6):946-958.

Yu GUAN, Xiaoyu JIANG, Yanpeng ZHENG, et al. An optimized formula for the two-point resistance of a cobweb resistance network and its potential application[J]. Frontiers of Information Technology & Electronic Engineering, 2025, 26(6): 946-958.
管钰, 江晓雨, 郑彦鹏, 等. 蛛网电阻网络两点电阻的优化公式及其势的应用[J]. 信息与电子工程前沿（英文）, 2025,26(6):946-958. DOI： 10.1631/FITEE.2400613.

Yu GUAN, Xiaoyu JIANG, Yanpeng ZHENG, et al. An optimized formula for the two-point resistance of a cobweb resistance network and its potential application[J]. Frontiers of Information Technology & Electronic Engineering, 2025, 26(6): 946-958. DOI： 10.1631/FITEE.2400613.

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蛛网电阻网络两点电阻的优化公式及其势的应用

An optimized formula for the two-point resistance of a cobweb resistance network and its potential application

DOI：10.1631/FITEE.2400613