SPATIO-TEMPORAL STABILITY ANALYSIS FOR DYNAMIC DISTRIBNTED PARAMETER NEURAL NETWORKS

Feng Dazheng; Bao Zheng; Jiao Licheng

Volume 19 Issue 5

Sep. 1997

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Article Navigation > Journal of Electronics & Information Technology > 1997 > 19(5): 596-605

Feng Dazheng, Bao Zheng, Jiao Licheng . SPATIO-TEMPORAL STABILITY ANALYSIS FOR DYNAMIC DISTRIBNTED PARAMETER NEURAL NETWORKS[J]. Journal of Electronics & Information Technology, 1997, 19(5): 596-605.

Citation:

Feng Dazheng, Bao Zheng, Jiao Licheng . SPATIO-TEMPORAL STABILITY ANALYSIS FOR DYNAMIC DISTRIBNTED PARAMETER NEURAL NETWORKS[J]. Journal of Electronics & Information Technology, 1997, 19(5): 596-605.

Feng Dazheng, Bao Zheng, Jiao Licheng . SPATIO-TEMPORAL STABILITY ANALYSIS FOR DYNAMIC DISTRIBNTED PARAMETER NEURAL NETWORKS[J]. Journal of Electronics & Information Technology, 1997, 19(5): 596-605.

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SPATIO-TEMPORAL STABILITY ANALYSIS FOR DYNAMIC DISTRIBNTED PARAMETER NEURAL NETWORKS

Received Date: 1995-05-29
Rev Recd Date: 1997-01-08
Publish Date: 1997-09-19

Abstract

Abstract

This paper extends the Hopfield s autoassociative neural networks and the Kosko s bidirectional neural networks to the dynamic neural networks with infinite state, namely the distributed parameter neural networks. Their boundedness and stability theorems are given and proved. Especially, their spatio-temporal stability is studied and their stability criteria about the boundary conditions are given. Finally, a simulation is given.

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References(1)

References

Hopfield J J, Tank D W. Science, 1986, 233(8): 625-633.[2]Kosko B. Bidrectional associative memories. IEEE Trans. on SMC 1988, SMC-18(1): 49-60.[3]焦李成著.神经网络系统理论.西安:西安电子科技大学出版社,1990, 12,52-79.[4]冯大政,焦李成,保铮.动态分布参数神经网络及其稳定性分析. 1994年中国神经网络大会论文集.武汉:1-4.[5][5][6]廖晓昕著.稳定性的数学理论及应用.武汉:华中师范大学出版社,1988, 7, 79-83.

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