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**Global asymptotic stability of delay BAM neural networks with impulses based on matrix theory.**
*(English)*
Zbl 1141.93399

Summary: By constructing suitable Lyapunov functional and using matrix theory, the global asymptotic stability of delay bi-directional associative memory neural networks with impulses are studied. This paper gives a sufficient condition which is independent with the delayed quantity for the global asymptotic stability of the neural networks. An illustrative example is given to validate the effectiveness of the obtained results.

### MSC:

93D15 | Stabilization of systems by feedback |

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

### Keywords:

bi-directional associative memory; delay; impulse; global asymptotic stability; matrix theory; Lyapunov functional
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\textit{X. Lou} and \textit{B. Cui}, Appl. Math. Modelling 32, No. 2, 232--239 (2008; Zbl 1141.93399)

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### References:

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