期刊文献+

Dynamics Analysis for Generic Projection Continuous-Time RNNs with Bounded Matrices 被引量:2

Dynamics Analysis for Generic Projection Continuous-Time RNNs with Bounded Matrices
原文传递
导出
摘要 The dynamics anMysis of recurrent neural networks (RNNs) is a first and necessary step for any practical applications of them. In the present paper, the easily verified theorem is found to ascertain the asymptotical stability for generic RNN model with projection mapping under the critical condition that a discriminant matrix defined by the networks is semi-positive definite. The results given here not only improve deeply upon the existing relevant critical as well as non-critical dynamics conclusions in literature, but also can be used in the practical application of RNNs directly.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2015年第4期799-812,共14页 系统科学与复杂性学报(英文版)
基金 supported by the National Nature Science Foundation of China under Grant Nos.11101327,11471006,and 11171270 the National Basic Research Program of China(973 Program)under Grant No.2013C13329406 the Fundamental Research Funds for the Central Universities under Grant Nos.xjj20100087 and 2011jdhz30
关键词 Bounded matrices critical condition dynamics analysis recurrent neural network. 动力学分析 投影映射 矩阵网络 递归神经网络 有界 神经网络模型 渐近稳定性 临界条件
  • 相关文献

参考文献15

  • 1Xu Z B, Qiao H, Peng J, and Zhang B, A comparative study of two modeling approaches in neural networks, Neural Netw., 2004, 17: 73-85.
  • 2Qiao H, Peng J, Xu Z B, and Zhang B, A reference model approach to stability analysis of neural networks, IEEE Trans. Syst., Man Cybern., 2003, 33: 925-936.
  • 3Peng J, Xu Z B, Qiao H, and Zhang B, A critical analysis on global convergence of Hopfield-type neural networks, IEEE Trans. Circuits Syst., 2005, 52: 804-814.
  • 4Qiao C and Xu Z B, Critical dynamics study on recurrent neural networks: Globally exponential stability, Neurocomputing, 2012, 77(1): 205-211.
  • 5Yang Y Q and Cao J D, Solving quadratic programming problems by delayed projection neural network, IEEE Trans. Neural Netw., 2006, 17: 1630-1634.
  • 6Qiao C and Xu Z B, New critical analysis on global convergence of recurrent neural networks with projection mappings, Lecture Notes in Computer Science, Springer, Berlin, 2007, 131-139.
  • 7Qiao C and Xu Z B, A critical global convergence analysis of recurrent neural networks with general projection mappings, Neurocomputing, 2009, 72: 1878-1886.
  • 8Qiao C and Xu z B, On the P-critical dynamics analysis of projection recurrent neural networks, Neurocomputing, 2010, 73: 2783-2788.
  • 9Qiao C, Jing W F, and Xu Z B, The UPPAM continuous-time RNN model and its critical dynamics, Neurocomputing, 2013, 106(15): 158-166.
  • 10Chua L O and Roska T, Cellular Neural Networks and Visual Computing: Foundations and Applications, Cammridge University Press, U.K., 2002.

同被引文献25

引证文献2

二级引证文献33

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部