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A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks

文献类型:期刊论文

作者Zhang, Huaguang1,2; Wang, Zhanshan1,2; Liu, Derong3
刊名IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
出版日期2014-07-01
卷号25期号:7页码:1229-1262
关键词Cohen-Grossberg neural networks discrete delay distributed delays Hopfield neural networks linear matrix inequality (LMI) Lyapunov diagonal stability (LDS) M-matrix recurrent neural networks robust stability stability
英文摘要Stability problems of continuous-time recurrent neural networks have been extensively studied, and many papers have been published in the literature. The purpose of this paper is to provide a comprehensive review of the research on stability of continuous-time recurrent neural networks, including Hopfield neural networks, Cohen-Grossberg neural networks, and related models. Since time delay is inevitable in practice, stability results of recurrent neural networks with different classes of time delays are reviewed in detail. For the case of delay-dependent stability, the results on how to deal with the constant/variable delay in recurrent neural networks are summarized. The relationship among stability results in different forms, such as algebraic inequality forms, M-matrix forms, linear matrix inequality forms, and Lyapunov diagonal stability forms, is discussed and compared. Some necessary and sufficient stability conditions for recurrent neural networks without time delays are also discussed. Concluding remarks and future directions of stability analysis of recurrent neural networks are given.
WOS标题词Science & Technology ; Technology
类目[WOS]Computer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
研究领域[WOS]Computer Science ; Engineering
关键词[WOS]GLOBAL ASYMPTOTIC STABILITY ; ABSOLUTE EXPONENTIAL STABILITY ; DESCRIPTOR SYSTEM APPROACH ; DELAY-DEPENDENT STABILITY ; REACTION-DIFFUSION TERMS ; H-INFINITY CONTROL ; COHEN-GROSSBERG MODEL ; DISCONTINUOUS ACTIVATION FUNCTIONS ; FUNCTIONAL-DIFFERENTIAL EQUATIONS ; DERIVING SUFFICIENT CONDITIONS
收录类别SCI
语种英语
WOS记录号WOS:000337906300001
源URL[http://ir.ia.ac.cn/handle/173211/3839]  
专题自动化研究所_复杂系统管理与控制国家重点实验室_智能化团队
作者单位1.Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China
2.State Key Lab Synthet Automat Proc Ind, Shenyang 110004, Peoples R China
3.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Zhang, Huaguang,Wang, Zhanshan,Liu, Derong. A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2014,25(7):1229-1262.
APA Zhang, Huaguang,Wang, Zhanshan,&Liu, Derong.(2014).A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,25(7),1229-1262.
MLA Zhang, Huaguang,et al."A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 25.7(2014):1229-1262.

入库方式: OAI收割

来源:自动化研究所

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