euler’s elastica
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2022 ◽  
Vol 90 (2) ◽  
Author(s):  
Yu Zhang ◽  
Songsong Li ◽  
Zhichang Guo ◽  
Boying Wu ◽  
Shan Du
Keyword(s):  




2021 ◽  
Vol 14 (1) ◽  
pp. 389-417
Author(s):  
Fang He ◽  
Xiao Wang ◽  
Xiaojun Chen


2020 ◽  
Vol 62 ◽  
pp. 102111
Author(s):  
Yu Chen ◽  
Guy Courbebaisse ◽  
Jianjiang Yu ◽  
Dongxiang Lu ◽  
Fei Ge


2020 ◽  
Vol 192 ◽  
pp. 111676
Author(s):  
Marius Müller


2020 ◽  
Vol 17 (2) ◽  
pp. 172988142091607
Author(s):  
Pavol Bozek ◽  
Yury L Karavaev ◽  
Andrey A Ardentov ◽  
Kirill S Yefremov

This article is concerned with developing an intelligent system for the control of a wheeled robot. An algorithm for training an artificial neural network for path planning is proposed. The trajectory ensures steering optimal motion from the current position of the mobile robot to a prescribed position taking its orientation into account. The proposed control system consists of two artificial neural networks. One of them serves to specify the position and the size of the obstacle, and the other forms a continuous trajectory to reach it, taking into account the information received, the coordinates, and the orientation at the point of destination. The neural network is trained on the basis of samples obtained by modeling the equations of motion of the wheeled robot which ensure its motion along trajectories in the form of Euler’s elastica.



Author(s):  
Francesco Nappi ◽  
Angelo Rosario Carotenuto ◽  
Sanjeet Singh Avtaar Singh ◽  
Christos Mihos ◽  
Massimiliano Fraldi




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