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An optimized formula for the two-point resistance of a cobweb resistance network and its potential application
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Yu GUAN, Xiaoyu JIANG, Yanpeng ZHENG, Zhaolin JIANG. An optimized formula for the two-point resistance of a cobweb resistance network and its potential application[J]. Frontiers of Information Technology & Electronic Engineering, 1998, -1(-1): .
@article{title="An optimized formula for the two-point resistance of a cobweb resistance network and its potential application",
author="Yu GUAN, Xiaoyu JIANG, Yanpeng ZHENG, Zhaolin JIANG",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="-1",
number="-1",
pages="",
year="1998",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2400613"
}
%0 Journal Article
%T An optimized formula for the two-point resistance of a cobweb resistance network and its potential application
%A Yu GUAN
%A Xiaoyu JIANG
%A Yanpeng ZHENG
%A Zhaolin JIANG
%J Journal of Zhejiang University SCIENCE C
%V -1
%N -1
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%@ 2095-9184
%D 1998
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.2400613
TY - JOUR
T1 - An optimized formula for the two-point resistance of a cobweb resistance network and its potential application
A1 - Yu GUAN
A1 - Xiaoyu JIANG
A1 - Yanpeng ZHENG
A1 - Zhaolin JIANG
J0 - Journal of Zhejiang University Science C
VL - -1
IS - -1
SP -
EP -
%@ 2095-9184
Y1 - 1998
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.2400613
Abstract: In recent years, the exploration and application of resistance networks have expanded significantly, and solving the equivalent resistance between two points of a resistance network has been an important topic. In this paper, we focus on optimizing the formula for calculating the two-point resistance of an m × n cobweb resistance network with 2r boundary conditions. To improve the computational efficiency of the equivalent resistance between two points, the formula is optimized by using the optimal approximation property of chebyshev polynomials in combination with hyperbolic functions, and the derivation process is simplified. We discussed the equivalent resistance formulas in several special cases and compared the computational efficiency of the equivalent resistance formulas before and after optimization. Finally, we made an innovative attempt of path planning through potential formulas and proposed a heuristic algorithm based on cobweb potential function for robot path planning in a cobweb environment with obstacles.
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