Global stability of Clifford-valued recurrent neural networks with time delays
作者： Yang Liu , Pei Xu , Jianquan Lu , Jinling Liang
DOI: 10.1007/S11071-015-2526-Y
关键词: Linear matrix inequality 、 Field (computer science) 、 Uniqueness 、 Stability (learning theory) 、 Exponential stability 、 Artificial neural network 、 Mathematical optimization 、 Extension (predicate logic) 、 Control theory 、 Recurrent neural network 、 Mathematics
摘要: … In this paper, we study an issue of stability analysis for Clifford-valued recurrent neural networks (… In [17], a complex-valued recurrent neural network was studied by separating complex-…
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sci-hub.se 参考文章(43)
Teijiro Isokawa, Tomoaki Kusakabe, Nobuyuki Matsui, Ferdinand Peper, Quaternion Neural Network and Its Application international conference on knowledge-based and intelligent information and engineering systems. pp. 318- 324 ,(2003) , 10.1007/978-3-540-45226-3_44
Sven Buchholz, A theory of neural computation with Clifford algebras Universitätsbibliothek Kiel. pp. 1- 76 ,(2006)
Gerik Scheuermann, Eduardo Bayro-Corrochano, Geometric Algebra Computing: in Engineering and Computer Science Springer Publishing Company, Incorporated. ,(2010)
Rongjiang Yang, Bo Wu, Yang Liu, A Halanay-type inequality approach to the stability analysis of discrete-time neural networks with delays Applied Mathematics and Computation. ,vol. 265, pp. 696- 707 ,(2015) , 10.1016/J.AMC.2015.05.088
Kanta Tachibana, Eckhard M. S. Hitzer, Sven Buchholz, Optimal Learning Rates for Clifford Neurons Lecture Notes in Computer Science. pp. 864- 873 ,(2007) , 10.1007/978-3-540-74690-4_88
J.K. Pearson, D.L. Bisset, Neural networks in the Clifford domain world congress on computational intelligence. ,vol. 3, pp. 1465- 1469 ,(1994) , 10.1109/ICNN.1994.374502
Yasuaki Kuroe, Shinpei Tanigawa, Hitoshi Iima, Models of hopfield-type clifford neural networks and their energy functions - hyperbolic and dual valued networks - international conference on neural information processing. pp. 560- 569 ,(2011) , 10.1007/978-3-642-24955-6_67
Geometric Algebra Computing Springer London. ,(2010) , 10.1007/978-1-84996-108-0
Bo Wu, Yang Liu, Jianquan Lu, New results on global exponential stability for impulsive cellular neural networks with any bounded time-varying delays Mathematical and Computer Modelling. ,vol. 55, pp. 837- 843 ,(2012) , 10.1016/J.MCM.2011.09.009
HuiXin Qin, Jun Ma, WuYin Jin, ChunNi Wang, Dynamics of electric activities in neuron and neurons of network induced by autapses Science China Technological Sciences. ,vol. 57, pp. 936- 946 ,(2014) , 10.1007/S11431-014-5534-0