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Quasi-projective and Complete Synchronization of Discrete-time Fractional-order Delayed Neural Networks by Xiao-Li Zhang; Hong-Li Li; Yongguang Yu; Long Zhang; Haijun Jiang is a Computer Science article available to read on EtoBox.

What is Quasi-projective and Complete Synchronization of Discrete-time Fractional-order Delayed Neural Networks about?

This paper presents new theoretical results on quasi-projective synchronization (Q-PS) and complete synchronization (CS) of one kind of discrete-time fractional-order delayed neural networks (DFDNNs). At first, three new fractional difference inequalities for exploring the upper bound of quasi-synchronization error and adaptive synchronization are established by dint of Laplace transform and properties of discrete Mittag-Leffler function, which vastly expand a number of available results. Furthermore, two controllers are designed including nonlinear controller and adaptive controller. And on the basis of Lyapunov method, the aforementioned inequalities and properties of fractional-order difference operators, some sufficient synchronization criteria of DFDNNs are derived. Because of the above controllers, synchronization criteria in this paper are less conservative. At last, numerical examples are carried out to illustrate the usefulness of theoretical upshots.

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Author

Xiao-Li Zhang; Hong-Li Li; Yongguang Yu; Long Zhang; Haijun Jiang

Publisher

Elsevier BV

Published

2023

Language

EN

Field

Computer Science (Physical Sciences)