@article {IOPORT.01769375, author = {Cao, Jinde}, title = {A set of stability criteria for delayed cellular neural networks.}, year = {2001}, journal = {IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications}, volume = {48}, number = {4}, issn = {1057-7122}, pages = {494-498}, publisher = {Institute of Electrical and Electronics Engineers (IEEE), New York, NY}, doi = {10.1109/81.917987}, abstract = {Summary: This brief article presents a set of criteria on the global asymptotic stability of delayed cellular neural networks by constructing suitable Lyapunov functionals, introducing ingeniously real parameters $w_i>0, \alpha_{ij}^*,\beta_{ij}^*,\eta_{ij}^*, \zeta_{ij}^*,\alpha_{ij},\beta_{ij},\eta_{ij},\zeta_{ij}\in R$ with $\alpha_{ij}^*+\beta_{ij}^*=1, \alpha_{ij}+\beta_{ij}=1, \eta_{ij}^*+\zeta_{ij}^*=1,\eta_{ij}+\zeta_{ij}=1$ ($i,j=1,2,\dots,n$) and combining this with the elementary inequality $2ab\le a^2+b^2$. These criteria are of important theoretical and applicable significance in signal processing, especially in speed detection of moving objects, processing of moving images and the design of networks since they possess infinitely adjustable real parameters. This result is also discussed from the point of view of its relationship to earlier results.}, identifier = {01769375}, }