Impulsive and Diffusive Effects on Stability of BAM Neural Networks with Delays
Although the results on exponential stability of delayed bidirectional associative memory (BAM) neural networks with impulse or diffusion were reported by some researchers, impulsive and diffusive effects should simultaneously be taken account into consideration since diffusion and impulses are ubiquitous in both nature and manmade systems, which reflects a more realistic dynamics than the former results. By using the impulsive delay differential inequality, some new sufficient criteria on exponential stability are established. Our criteria are independent of diffusion effects and dependent on the magnitude of the delays and impulses, which shows that diffusion effects are harmless and the magnitude of the delays and impulses needs enough small in the stabilization.
Helen Zhang, Gang Shen and David Jin
Q. H. Zhou and L. Wan, "Impulsive and Diffusive Effects on Stability of BAM Neural Networks with Delays", Advanced Materials Research, Vols. 219-220, pp. 896-899, 2011