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Global asymptotic stability of fractional-order complex-valued neural networks with probabilistic time-varying delays
Journal article   Peer reviewed

Global asymptotic stability of fractional-order complex-valued neural networks with probabilistic time-varying delays

Sihan Chen, Qiankun Song, Zhenjiang Zhao, Yurong Liu and Fuad E. Alsaadi
Neurocomputing (Amsterdam), Vol.450, pp.311-318
25/08/2021

Abstract

Complex-valued neural networks Fractional-order calculus Linear matrix inequality Probabilistic time-varying delays Stability
The stability of fractional-order complex-valued neural networks (FOCVNNs) with probabilistic time-varying delays is investigated in this paper. By constructing suitable Lyapunov–Krasovskii functional and utilizing inequality technique, a complex-valued linear matrix inequality (LMI) criterion guaranteeing the global asymptotic stability of the proposed FOCVNNs is deduced. A numerical example with simulations is provided to demonstrate the feasibility and availability of the obtained theoretical result.

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