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**On global stability criterion of neural networks with continuously distributed delays.**
*(English)*
Zbl 1141.93054

Summary: Based on the Lyapunov’s second method and the Linear Matrix Inequality (LMI) optimization approach, this paper presents a new sufficient condition for global asymptotic stability of the equilibrium point for a class of neural networks with discrete and distributed delays. The stability condition is expressed in terms of LMIs, which can be solved easily by various convex optimization algorithms. A numerical example is given to show the less conservatism and effectiveness of proposed method.

### MSC:

93D20 | Asymptotic stability in control theory |

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

90C25 | Convex programming |

93C15 | Control/observation systems governed by ordinary differential equations |

34D23 | Global stability of solutions to ordinary differential equations |

### Software:

LMI toolbox
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\textit{J. H. Park}, Chaos Solitons Fractals 37, No. 2, 444--449 (2008; Zbl 1141.93054)

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### References:

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