Novel Delay-Dependent Stability Criteria for Discrete-Time Neural Networks with Time-Varying Delay

Sreten Stojanovic, Milan Stojanovic and Milos Stevanovic

Mathematical Problems in Engineering, 2018, vol. 2018, 1-15

Abstract:

The delay-dependent stability problem is investigated for discrete-time neural networks with time-varying delays. A new augmented Lyapunov-Krasovskii functional (LKF) with single and double summation terms and several augmented vectors is proposed by decomposing the time-delay interval into two nonequidistant subintervals to derive less conservative stability conditions. Then, by using Wirtinger-based inequality, reciprocally, and extended reciprocally convex combination lemmas, tight estimations for sum terms in the forward difference of the LKF are given. Several zero equalities are introduced to further relax the existing results. Less conservative stability criteria are proposed in terms of linear matrix inequalities (LMIs). Finally, numerical examples are proposed to show the effectiveness and less conservativeness of the proposed method.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5397870

DOI: 10.1155/2018/5397870

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