1Department of Mathematics, School of Advanced Sciences (SAS), VIT University, Vellore, Tamilnadu, India
2Department of Information Technology, Higher College of Technology, Muscat, Oman
*Corresponding Author E-mail: venkatesh.reddy@vit.ac.in
Online published on 2 March, 2017.
In this paper, we establish the almost sure asymptotic stability and decay solutions of a scalar stochastic difference equation with a non-hyperbolic equilibrium at the origin which is perturbed by a random term with a fading state-independent intensity. Also we arrived the convergence speed because it determines the maximum rate of change of the input non-stationaries in the uncertained domain that was tracked by the stochastic network.
Stochastic difference equation, equilibrium, z-transforms, rate of decay, stochastic framework networks
