Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks.

Chen, Jiejie; Zeng, Zhigang; Jiang, Ping · Neural Netw · 2014

basic_science · Level V

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Abstract

The present paper introduces memristor-based fractional-order neural networks. The conditions on the global Mittag-Leffler stability and synchronization are established by using Lyapunov method for these networks. The analysis in the paper employs results from the theory of fractional-order differential equations with discontinuous right-hand sides. The obtained results extend and improve some previous works on conventional memristor-based recurrent neural networks.

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