Anti-synchronization for stochastic memristor-based neural networks with non-modeled dynamics via adaptive control approach

Hui Zhao, Lixiang Li (), Haipeng Peng, Jürgen Kurths, Jinghua Xiao and Yixian Yang

The European Physical Journal B: Condensed Matter and Complex Systems, 2015, vol. 88, issue 5, 1-10

Abstract: In this paper, exponential anti-synchronization in mean square of an uncertain memristor-based neural network is studied. The uncertain terms include non-modeled dynamics with boundary and stochastic perturbations. Based on the differential inclusions theory, linear matrix inequalities, Gronwall’s inequality and adaptive control technique, an adaptive controller with update laws is developed to realize the exponential anti-synchronization. Adaptive controller can adjust itself behavior to get the best performance, according to the environment is changing or the environment has changed, which has the ability to adapt to environmental change. Furthermore, a numerical example is provided to validate the effectiveness of the proposed method. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Keywords: Statistical and Nonlinear Physics (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1140/epjb/e2015-50798-9

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