COMPLETE STABILITY FOR STANDARD CELLULAR NEURAL NETWORKS
Song-Sun Lin, Chih-Wen Shih · International Journal of Bifurcation and Chaos · 1999
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.