Improved synchronization criteria for fractional-order complex-valued neural networks via partial control

Advances in Difference Equations

article

Li, Hong-Li¹  Muhammadhaji, Ahmadjan¹  Zhang, Long¹  Jiang, Haijun¹  Teng, Zhidong¹ 

[1] College of Mathematics and System Sciences, Xinjiang University

关键词: Synchronization;    Fractional-order;    Complex-valued neural networks;    Partial adaptive control;   

DOI  :  10.1186/s13662-020-02810-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this article, without dividing a complex-valued neural network into two real-valued subsystems, the global synchronization of fractional-order complex-valued neural networks (FOCVNNs) is investigated by the Lyapunov direct method rather than the real decomposition method. It is worth mentioning that the partial adaptive control and partial linear feedback control schemes are introduced, by constructing suitable Lyapunov functions, some improved synchronization criteria are derived with the help of fractional differential inequalities and L’Hospital rule as well as some complex analysis techniques. Finally, simulation results are given to demonstrate the validity and feasibility of our theoretical analysis.

【 授权许可】

CC BY