Abstract
In the architecture of cellular neural networks (CNN), connections among cells are built on linear coupling laws. These laws are characterized by the so-called templates which express the local interaction weights among cells. Recently, the complete stability for CNN has been extended from symmetric connections to cycle-symmetric connections. In this presentation, we investigate a class of two-dimensional space-invariant templates. We find necessary and sufficient conditions for the class of templates to have cycle-symmetric connections. Complete stability for CNN with several interesting templates is thus concluded.
Original language | English |
---|---|
Pages (from-to) | 2957-2966 |
Number of pages | 10 |
Journal | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
Volume | 12 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2002 |
Keywords
- Complete stability
- Cycle-symmetric matrix
- Neural network