A Halanay-type inequality approach to the stability analysis of discrete-time neural networks with delays

Rongjiang Yang, Bo Wu and Yang Liu

Applied Mathematics and Computation, 2015, vol. 265, issue C, 696-707

Abstract: In this paper, we consider the stability of discrete-time neural networks with time-varying delays. A new discrete-time Halanay-type inequality is presented, based on which, we derive sufficient conditions for the globally asymptotic and exponential stability of discrete-time delayed neural networks. Two kinds of neural networks, without and with impulsive effects are investigated. Numerical examples and simulations are given to illustrate the effectiveness of the obtained results.

Keywords: Halanay-type inequality; Stability; Discrete-time impulsive neural network; Time delay (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:696-707

DOI: 10.1016/j.amc.2015.05.088

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