Improved delay-dependent stability analysis for neural networks with interval time-varying delays.

*(English)*Zbl 1394.93284Summary: The problem of delay-dependent asymptotic stability analysis for neural networks with interval time-varying delays is considered based on the delay-partitioning method. Some less conservative stability criteria are established in terms of linear matrix inequalities (LMIs) by constructing a new Lyapunov-Krasovskii functional (LKF) in each subinterval and combining with reciprocally convex approach. Moreover, our criteria depend on both the upper and lower bounds on time-varying delay and its derivative, which is different from some existing ones. Finally, a numerical example is given to show the improved stability region of the proposed results.

##### MSC:

93D20 | Asymptotic stability in control theory |

34K20 | Stability theory of functional-differential equations |

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\textit{J.-k. Tian} and \textit{Y.-m. Liu}, Math. Probl. Eng. 2015, Article ID 705367, 10 p. (2015; Zbl 1394.93284)

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##### References:

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