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**Global exponential stability of pseudo almost periodic solutions for SICNNs with time-varying leakage delays.**
*(English)*
Zbl 1474.34514

Summary: This paper is concerned with the shunting inhibitory cellular neural networks (SICNNs) with time-varying delays in the leakage (or forgetting) terms. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of pseudo almost periodic solutions by using Lyapunov functional method and differential inequality techniques. We also provide numerical simulations to support the theoretical result.

### MSC:

34K20 | Stability theory of functional-differential equations |

34K14 | Almost and pseudo-almost periodic solutions to functional-differential equations |

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\textit{W. Wang} and \textit{B. Liu}, Abstr. Appl. Anal. 2014, Article ID 967328, 17 p. (2014; Zbl 1474.34514)

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### References:

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