A set of stability criteria for delayed cellular neural networks
Jinde Cao · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2001
This work presents a set of criteria on the global asymptotic stability of delayed cellular neural networks (DCNN) by constructing suitable Lyapunov functionals, introducing ingeniously real parameters w/sub i/>0, /spl alpha//sup *//sub ij/, /spl beta//sup *//sub ij/, /spl eta//sup *//sub ij/, /spl zeta//sup *//sub ij/, /spl alpha//sub ij/, /spl beta//sub ij/, /spl eta//sub ij/, /spl zeta//sub ij//spl isin/R with /spl alpha//sup *//sub ij/+/spl beta//sup *//sub ij/=1, /spl alpha//sub ij/+/spl beta//sub ij/=1, /spl eta//sup *//sub ij/+/spl zeta//sup *//sub ij/=1, /spl eta//sub ij/+/spl zeta//sub ij/=1(i, j=1, 2, ..., n) and combining with elementary inequality technique 2ab/spl les/a/sup 2/+b/sup 2/. These criteria are of theoretical and applicable important 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.