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Improved delay-dependent stability analysis for neural networks with interval time-varying delays. (English) Zbl 1394.93284
Summary: 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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