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**New delay-dependent robust stability criterion for uncertain neural networks with time-varying delays.**
*(English)*
Zbl 1162.34060

Summary: The problem of delay-dependent stability of uncertain neural networks with time-varying delays is considered. The parameter uncertainties are time-varying and assumed to be bounded in magnitude. By constructing a new augmented Lyapunov functional, a delay-dependent stability criterion for the network is derived in terms of LMI (linear matrix inequality) which can be easily solved by various convex optimization algorithms. Three numerical examples are included to show the effectiveness of proposed criterion.

### MSC:

34K20 | Stability theory of functional-differential equations |

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

### Keywords:

asymptotic stability; delay; linear matrix inequality (LMI); Lyapunov method; neural networks (NNs)### Software:

LMI toolbox
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\textit{O. M. Kwon} and \textit{J. H. Park}, Appl. Math. Comput. 205, No. 1, 417--427 (2008; Zbl 1162.34060)

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### References:

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