The stability of memristive multidirectional associative memory neural networks with time-varying delays in the leakage terms via sampled-data control

Weiping Wang, Xin Yu, Xiong Luo, Long Wang, Lixiang Li, Jürgen Kurths, Wenbing Zhao and Jiuhong Xiao

PLOS ONE, 2018, vol. 13, issue 9, 1-26

Abstract: In this paper, we propose a new model of memristive multidirectional associative memory neural networks, which concludes the time-varying delays in leakage terms via sampled-data control. We use the input delay method to turn the sampling system into a continuous time-delaying system. Then we analyze the exponential stability and asymptotic stability of the equilibrium points for this model. By constructing a suitable Lyapunov function, using the Lyapunov stability theorem and some inequality techniques, some sufficient criteria for ensuring the stability of equilibrium points are obtained. Finally, numerical examples are given to demonstrate the effectiveness of our results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0204002

DOI: 10.1371/journal.pone.0204002

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