Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume 2020, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1186/s13662-020-02810-x
Keywords
Synchronization; Fractional-order; Complex-valued neural networks; Partial adaptive control
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Funding
- National Natural Science Foundation of China [11702237, 11861065]
- China Postdoctoral Science Foundation [1107010238]
- Natural Science Foundation of Xinjiang [2017D01C082]
- Scientific Research Program of the Higher Education Institution of Xinjiang [XJEDU2017S001]
- Doctoral Scientific Research Foundation of Xinjiang University [BS160204]
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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.
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