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Fast Convergence using difference Equations for the Uncertained Framework

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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.

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