New Delay-Dependent Stability Criteria for Impulsive Neural Networks with Additive Time-Varying Delay Components and Leakage Term
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This work is concerned with the delay-dependent stability problem for uncertain impulsive neural networks (NNs) with additive time-varying delay components and leakage term. We construct a newly augmented Lyapunov–Krasovskii (L–K) functional which contains triple and four integral terms and then utilizing free-matrix-based integral inequality to bound the derivative of the Lyapunov–Krasovskii functional. Some sufficient conditions are derived to assure the delay-dependent stability of the impulsive NNs by the linear matrix inequality, which is less conservative than some existing results and can be readily verified by the convex optimization algorithms. In addition, some information of activation function ignored in previous works has been taken into account in the resulting condition. In the end, three numerical examples are provided to illustrate the effectiveness of the proposed criteria.
KeywordsDelay-dependent stability Neural networks Linear matrix inequality Additive time-varying delay Leakage delay Lyapunov–Krasovskii functional
- 15.He Y, Wu M, She JH (2006) Delay-dependent exponential stability of delayed neural networks with time-varying delay. IEEE Trans Circuits Syst I(53):553–557Google Scholar
- 18.Wei RY, Cao JD (2018) Synchronization analysis of inertial memristive neural networks with time-varying delays. J Artif Intell Soft Comput Res 8(4):269–282Google Scholar
- 34.Li D, Yang D, Wang H, Zhang X, Wang S (2009) Asymptotical stability of multi-delayed cellular neural networks with impulsive effects. Phys Lett A 388:218–224Google Scholar