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**Dynamical analysis for high-order delayed Hopfield neural networks with impulses.**
*(English)*
Zbl 1253.93094

Summary: The global exponential stability and uniform stability of the equilibrium point for high-order delayed Hopfield neural networks with impulses are studied. By utilizing Lyapunov functional method, the quality of negative definite matrix, and the linear matrix inequality approach, some new stability criteria for such system are derived. The results are related to the size of delays and impulses. Two examples are also given to illustrate the effectiveness of our results.

### MSC:

93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |

92B20 | Neural networks for/in biological studies, artificial life and related topics |

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\textit{D. Li}, Abstr. Appl. Anal. 2012, Article ID 825643, 17 p. (2012; Zbl 1253.93094)

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### References:

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