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**Exponential stability of delayed bi-directional associative memory networks.**
*(English)*
Zbl 1030.34073

Summary: Some sufficient conditions are derived for the global exponential stability in delayed bi-directional associative memory (BAM) networks by constructing a suitable Lyapunov functional and the inequality \(2ab\leq a^2+b^2\) technique. These conditions have an important leading significance in the design and applications of globally exponentially stable neural circuits for delayed BAM.

### MSC:

34K20 | Stability theory of functional-differential equations |

34K60 | Qualitative investigation and simulation of models involving functional-differential equations |

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 |

### Keywords:

suitable Lyapunov functional
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\textit{J. Cao} and \textit{M. Dong}, Appl. Math. Comput. 135, No. 1, 105--112 (2003; Zbl 1030.34073)

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### References:

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