Stability of Cellular Neural Networks With Distributive Time Delays and Noise Perturbations

Abstract

This work investigates the global stability of cellular neural networks with distributive time delays and noise perturbations. Two types of noise perturbations are considered in the system, one is internal noise and another is external noise. We show that the deterministic system preserves the globally exponential stability when it is perturbed by the internal noise with small noise strength. On the other hand, the deterministic system can only preserve weaker stability when it is perturbed by the external noise. We also provide some numerical simulations to support our theoretical analysis. Int. J. Bifurcation Chaos 2007.17:535-544. Downloaded from www.worldscientific.com by UNIVERSITY OF MICHIGAN on 02/03/15. For personal use only. Int. J. Bifurcation Chaos 2007.17:535-544. Downloaded from www.worldscientific.com by UNIVERSITY OF MICHIGAN on 02/03/15. For personal use only.