Anti-synchronization Analysis of Fractional-Order Neural Networks with Time-Varying Delays

Minglin Xu, Peng Liu, Minxue Kong, Junwei Sun · 2020

This paper deals with the anti-synchronization problem of fractional-order neural networks with time-varying delays. By using the properties of fractional calculus, sufficient criteria are deduced for realizing the anti-synchronization of fractional-order neural networks with time-varying delays. In addition, sufficient criteria for anti-synchronization in Mittag-Leffler sense are derived for fractional-order neural networks without time delay. The results in this paper are also applicable for anti-synchronization results of integer-order neural networks. Three numerical examples are proposed to verify the validity of the theoretical results.

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