Different dimensional fractional-order discrete chaotic systems based on the Caputo h-difference discrete operator: dynamics, control, and synchronization

被引：0
作者：
Ibtissem Talbi
Adel Ouannas
Amina-Aicha Khennaoui
Abdelhak Berkane
Iqbal M. Batiha
Giuseppe Grassi
Viet-Thanh Pham
机构：
[1] University of Constantine,Department of Mathematics
[2] University of Larbi Ben M’hidi,Department of Mathematics and Computer Science
[3] University of Larbi Ben M’hidi,Laboratory of Dynamical Systems and Control
[4] University of Jordan,Department of Mathematics, Faculty of Science
[5] Universita del Salento,Dipartimento Ingegneria Innovazione
[6] Ton Duc Thang University,Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering
来源：
Advances in Difference Equations | / 2020卷
关键词：
Discrete fractional calculus; Control; Synchronization; Discrete Lorenz system; Discrete Wang system; Lyapunov approach;
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摘要：
The paper investigates control and synchronization of fractional-order maps described by the Caputo h-difference operator. At first, two new fractional maps are introduced, i.e., the Two-Dimensional Fractional-order Lorenz Discrete System (2D-FoLDS) and Three-Dimensional Fractional-order Wang Discrete System (3D-FoWDS). Then, some novel theorems based on the Lyapunov approach are proved, with the aim of controlling and synchronizing the map dynamics. In particular, a new hybrid scheme is proposed, which enables synchronization to be achieved between a master system based on a 2D-FoLDS and a slave system based on a 3D-FoWDS. Simulation results are reported to highlight the effectiveness of the conceived approach.
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