Complete stability for standard cellular neural networks

Song-Sun Lin; Chih-Wen Shih

doi:10.1142/S021812749900064X

Complete stability for standard cellular neural networks

Song-Sun Lin^*, Chih-Wen Shih

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

We consider cellular neural networks with symmetric space-variant feedback template. The complete stability is proved via detailed analysis on the energy function. The proof is presented for the two-dimensional case with Dirichlet boundary condition. It can be extended to other dimensions with minor adjustments. Modifications to the cases of Neumann and periodic boundary conditions are also mentioned.

Original language	English
Pages (from-to)	909-918
Number of pages	10
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	9
Issue number	5
DOIs	https://doi.org/10.1142/S021812749900064X
State	Published - 1 Jan 1999

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title = "Complete stability for standard cellular neural networks",

abstract = "We consider cellular neural networks with symmetric space-variant feedback template. The complete stability is proved via detailed analysis on the energy function. The proof is presented for the two-dimensional case with Dirichlet boundary condition. It can be extended to other dimensions with minor adjustments. Modifications to the cases of Neumann and periodic boundary conditions are also mentioned.",

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AB - We consider cellular neural networks with symmetric space-variant feedback template. The complete stability is proved via detailed analysis on the energy function. The proof is presented for the two-dimensional case with Dirichlet boundary condition. It can be extended to other dimensions with minor adjustments. Modifications to the cases of Neumann and periodic boundary conditions are also mentioned.

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Complete stability for standard cellular neural networks

Abstract

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