Robust Stability Analysis of Fractional-Order Hopfield Neural Networks with Parameter Uncertainties

Shuo Zhang, Yongguang Yu and Wei Hu

Mathematical Problems in Engineering, 2014, vol. 2014, 1-14

Abstract:

The issue of robust stability for fractional-order Hopfield neural networks with parameter uncertainties is investigated in this paper. For such neural system, its existence, uniqueness, and global Mittag-Leffler stability of the equilibrium point are analyzed by employing suitable Lyapunov functionals. Based on the fractional-order Lyapunov direct method, the sufficient conditions are proposed for the robust stability of the studied networks. Moreover, robust synchronization and quasi-synchronization between the class of neural networks are discussed. Furthermore, some numerical examples are given to show the effectiveness of our obtained theoretical results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:302702

DOI: 10.1155/2014/302702

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