中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
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
DOI10.1016/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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