A set of stability criteria for delayed cellular neural networks. (English) Zbl 0994.82066
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 with () and combining this with the elementary inequality . 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.
|82C32||Neural nets (statistical mechanics)|
|78A55||Technical applications of optics and electromagnetic theory|
|94A12||Signal theory (characterization, reconstruction, filtering, etc.)|