Convergence and robustness of bounded recurrent neural networks for solving dynamic Lyapunov equations
文献类型:期刊论文
作者 | Wang, Guancheng2,3; Hao, Zhihao2; Zhang, Bob2; Jin, Long1 |
刊名 | INFORMATION SCIENCES
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出版日期 | 2022-04-01 |
卷号 | 588页码:106-123 |
关键词 | Recurrent neural network dynamic Lyapunov equations Bounded activation functions Finite-time convergence Robustness |
ISSN号 | 0020-0255 |
DOI | 10.1016/j.ins.2021.12.039 |
通讯作者 | Zhang, Bob(bobzhang@um.edu.mo) ; Jin, Long(jinlongsysu@foxmail.com) |
英文摘要 | Recurrent neural networks have been reported as an effective approach to solve dynamic Lyapunov equations, which widely exist in various application fields. Considering that a bounded activation function should be imposed on recurrent neural networks to solve the dynamic Lyapunov equation in certain situations, a novel bounded recurrent neural network is defined in this paper. Following the definition, several bounded activation func-tions are proposed, and two of them are used to construct the bounded recurrent neural network for demonstration, where one activation function has a finite-time convergence property and the other achieves robustness against noise. Moreover, theoretical analyses provide rigorous and detailed proof of these superior properties. Finally, extensive simula-tion results, including comparative numerical simulations and two application examples, are demonstrated to verify the effectiveness and feasibility of the proposed bounded recur-rent neural network.(c) 2021 Elsevier Inc. All rights reserved. |
资助项目 | University of Macau[MYRG2018-00053-FST] ; CAS Light of West ChinaProgram ; Natural Science Foundation of Chongqing (China)[Cstc2020jcyj-zdxmX0028] ; National Natural Science Foundation of China[62072121] ; first class discipline construction platform project in 2019 of Guangdong Ocean University[231419026] ; Youth Innovation Project of the Department of Education of Guangdong Province[2020KQNCX026] ; Open Research Fund of the Beijing Key Laboratory of Big Data Technology for Food Safety[BTBD-2021KF05] ; Guangdong Basic and Applied Basic Research Foundation[2021A1515011847] ; Special Project in Key Fields of Universities in Department of Education of Guangdong Province[2019KZDZX1036] ; Guangdong Graduate Education Innovation Project, Graduate Summer School[2020SQXX19] ; Guangdong Graduate Education Innovation Project, Graduate Academic Forum[202160] ; Key Lab of Digital Signal and Image Processing of Guangdong Province[2019GDDSIPL-01] |
WOS研究方向 | Computer Science |
语种 | 英语 |
WOS记录号 | WOS:000768300300006 |
出版者 | ELSEVIER SCIENCE INC |
源URL | [http://119.78.100.138/handle/2HOD01W0/15469] ![]() |
专题 | 中国科学院重庆绿色智能技术研究院 |
通讯作者 | Zhang, Bob; Jin, Long |
作者单位 | 1.Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Chongqing Key Lab Big Data & Intelligent Comp, Chongqing 400714, Peoples R China 2.Univ Macau, Dept Comp & Informat Sci, Taipa 999078, Macau, Peoples R China 3.Guangdong Ocean Univ, Coll Elect & Informat Engn, Zhanjiang 524088, Peoples R China |
推荐引用方式 GB/T 7714 | Wang, Guancheng,Hao, Zhihao,Zhang, Bob,et al. Convergence and robustness of bounded recurrent neural networks for solving dynamic Lyapunov equations[J]. INFORMATION SCIENCES,2022,588:106-123. |
APA | Wang, Guancheng,Hao, Zhihao,Zhang, Bob,&Jin, Long.(2022).Convergence and robustness of bounded recurrent neural networks for solving dynamic Lyapunov equations.INFORMATION SCIENCES,588,106-123. |
MLA | Wang, Guancheng,et al."Convergence and robustness of bounded recurrent neural networks for solving dynamic Lyapunov equations".INFORMATION SCIENCES 588(2022):106-123. |
入库方式: OAI收割
来源:重庆绿色智能技术研究院
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