Destabilizing Effects of Impulse in Delayed Bam Neural Networks

Abstract

This paper further studies the global exponential stability of the equilibrium point of the delayed bidirectional associative memory (DBAM) neural networks with impulse effects. Several results characterizing the aggregated effects of impulse and dynamical property of the impulse-free DBAM on the exponential stability of the considered DBAM have been established. It is shown that the impulsive DBAM will preserve the global exponential stability of the impulse-free DBAM even if the impulses have enlarging effects on the states of neurons.Keywords: Delayed bidirectional associative memory (DBAM); neural networks; impulse; exponential stability; Halanay-type inequality. * Corresponding author. 3503 Mod. Phys. Lett. B 2009.23:3503-3513. Downloaded from www.worldscientific.com by MCGILL UNIVERSITY on 02/03/15. For personal use only.

Stability and Stabilization of Delayed Neural Networks with Hybrid Impulses

“…Stabilizing impulses can be considered as impulsive controllers, which can enhance the stabilization of dynamical systems. In the last several decades, stabilizing impulses and destabilizing impulses have been studied by a great many scholars [28][29][30][31]. At the same time, the impulsive control method has received many researchers' attention (see [32][33][34][35][36] and references therein).…”