A novel zeroing neural network for dynamic sylvester equation solving and robot trajectory tracking
To solve the theoretical solution of dynamic Sylvester equation (DSE), we use a fast convergence zeroing neural network (ZNN) system to solve the time-varying problem. In this paper, a new activation function (AF) is proposed to ensure fast convergence in predefined times, as well as its robustness...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-02-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2023.1133745/full |
| _version_ | 1797905025841758208 |
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| author | Lv Zhao Lv Zhao Huaiyuan Shao Xiaolei Yang Xin Liu Zhijun Tang Hairong Lin |
| author_facet | Lv Zhao Lv Zhao Huaiyuan Shao Xiaolei Yang Xin Liu Zhijun Tang Hairong Lin |
| author_sort | Lv Zhao |
| collection | DOAJ |
| description | To solve the theoretical solution of dynamic Sylvester equation (DSE), we use a fast convergence zeroing neural network (ZNN) system to solve the time-varying problem. In this paper, a new activation function (AF) is proposed to ensure fast convergence in predefined times, as well as its robustness in the presence of external noise perturbations. The effectiveness and robustness of this zeroing neural network system is analyzed theoretically and verified by simulation results. It was further verified by the application of robotic trajectory tracking. |
| first_indexed | 2024-04-10T09:58:31Z |
| format | Article |
| id | doaj.art-16bc70f74f3c47cd9a036be4fc5192bd |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-10T09:58:31Z |
| publishDate | 2023-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-16bc70f74f3c47cd9a036be4fc5192bd2023-02-16T10:11:57ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-02-011110.3389/fphy.2023.11337451133745A novel zeroing neural network for dynamic sylvester equation solving and robot trajectory trackingLv Zhao0Lv Zhao1Huaiyuan Shao2Xiaolei Yang3Xin Liu4Zhijun Tang5Hairong Lin6School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, ChinaSchool of Information Engineering, Changsha Medical University, Changsha, ChinaSchool of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, ChinaGuangxi University of Finance and Economics, Nanning, ChinaSchool of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, ChinaSchool of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, ChinaHunan University, Changsha, ChinaTo solve the theoretical solution of dynamic Sylvester equation (DSE), we use a fast convergence zeroing neural network (ZNN) system to solve the time-varying problem. In this paper, a new activation function (AF) is proposed to ensure fast convergence in predefined times, as well as its robustness in the presence of external noise perturbations. The effectiveness and robustness of this zeroing neural network system is analyzed theoretically and verified by simulation results. It was further verified by the application of robotic trajectory tracking.https://www.frontiersin.org/articles/10.3389/fphy.2023.1133745/fulldynamic sylvester equationzeroing neural networkpredefined-time convergencerobustnessactivation functionrobot trajectory tracking |
| spellingShingle | Lv Zhao Lv Zhao Huaiyuan Shao Xiaolei Yang Xin Liu Zhijun Tang Hairong Lin A novel zeroing neural network for dynamic sylvester equation solving and robot trajectory tracking Frontiers in Physics dynamic sylvester equation zeroing neural network predefined-time convergence robustness activation function robot trajectory tracking |
| title | A novel zeroing neural network for dynamic sylvester equation solving and robot trajectory tracking |
| title_full | A novel zeroing neural network for dynamic sylvester equation solving and robot trajectory tracking |
| title_fullStr | A novel zeroing neural network for dynamic sylvester equation solving and robot trajectory tracking |
| title_full_unstemmed | A novel zeroing neural network for dynamic sylvester equation solving and robot trajectory tracking |
| title_short | A novel zeroing neural network for dynamic sylvester equation solving and robot trajectory tracking |
| title_sort | novel zeroing neural network for dynamic sylvester equation solving and robot trajectory tracking |
| topic | dynamic sylvester equation zeroing neural network predefined-time convergence robustness activation function robot trajectory tracking |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2023.1133745/full |
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