Further stability analysis for delayed complex-valued recurrent neural networks☆

作者: Ziye Zhang , Xiaoping Liu , Jian Chen , Runan Guo , Shaowei Zhou

DOI: 10.1016/J.NEUCOM.2017.04.013

关键词:

摘要: Abstract This paper focuses on the stability problem for delayed complex-valued recurrent neural networks. Whether activation functions are explicitly expressed by separating real and imaginary parts or not, they always assumed to satisfy globally Lipschitz condition in complex domain. For two cases of functions, based homeomorphism theory Lyapunov function approach new delay-dependent sufficient conditions guarantee existence, uniqueness, asymptotical equilibrium point system obtained, respectively. each case, several numerical examples given show effectiveness advantages obtained results.

参考文章(49)
Tao Dong, Xiaofeng Liao, Aijuan Wang, Stability and Hopf bifurcation of a complex-valued neural network with two time delays Nonlinear Dynamics. ,vol. 82, pp. 173- 184 ,(2015) , 10.1007/S11071-015-2147-5
Weiqiang Gong, Jinling Liang, Jinde Cao, Global μ-stability of complex-valued delayed neural networks with leakage delay Neurocomputing. ,vol. 168, pp. 135- 144 ,(2015) , 10.1016/J.NEUCOM.2015.06.006
Yongping Li, Xiaofeng Liao, Huaqing Li, Global attracting sets of non-autonomous and complex-valued neural networks with time-varying delays Neurocomputing. ,vol. 173, pp. 994- 1000 ,(2016) , 10.1016/J.NEUCOM.2015.08.056
Y. Kuroe, N. Hashimoto, T. Mori, On energy function for complex-valued neural networks and its applications international conference on neural information processing. ,vol. 3, pp. 1079- 1083 ,(2002) , 10.1109/ICONIP.2002.1202788
Yasuaki Kuroe, Mitsuo Yoshid, Takehiro Mori, On activation functions for complex-valued neural networks: existence of energy functions international conference on artificial neural networks. pp. 985- 992 ,(2003) , 10.1007/3-540-44989-2_117
Xiaoyu Liu, Bin Liu, Kangling Fang, A synthesis method based on stability analysis for complex-valued Hopfield neural network asian control conference. pp. 1245- 1250 ,(2009)
Wei Zhang, Chuandong Li, Tingwen Huang, Global robust stability of complex-valued recurrent neural networks with time-delays and uncertainties International Journal of Biomathematics. ,vol. 07, pp. 1450016- ,(2014) , 10.1142/S1793524514500168