A set of stability criteria for delayed cellular neural networks

作者：Cao J^*

来源：IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications , 2001, 48(4): 494-498.

• cellular neural networks
• delay
• global asymptotic stability
• inequality
• Lyapunov functional
• parameter
• stable equilibrium points

This brief 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(i) > 0, alpha (ij)*, beta (ij)*, eta (ij)*, zeta (ij)*, alpha (ij), beta (ij), eta (ij), zeta (ij) is an element of 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,...,n) and combining with elementary inequality technique 2ab less than or equal to a(2) + b(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.

• 出版日期2001-4
• 单位云南大学; 东南大学