**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30840

##### Existence and Exponential Stability of Almost Periodic Solution for Cohen-Grossberg SICNNs with Impulses

**Abstract:**

In this paper, based on the estimation of the Cauchy matrix of linear impulsive differential equations, by using Banach fixed point theorem and Gronwall-Bellman-s inequality, some sufficient conditions are obtained for the existence and exponential stability of almost periodic solution for Cohen-Grossberg shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays and impulses. An example is given to illustrate the main results.

**Keywords:**
Neural Networks,
exponential stability,
Almost periodic solution,
impulses

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1058513

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