Advances in Difference Equations | 卷:2020 |
Different dimensional fractional-order discrete chaotic systems based on the Caputo h-difference discrete operator: dynamics, control, and synchronization | |
Adel Ouannas1  Iqbal M. Batiha2  Abdelhak Berkane3  Ibtissem Talbi3  Giuseppe Grassi4  Amina-Aicha Khennaoui5  Viet-Thanh Pham6  | |
[1] Department of Mathematics and Computer Science, University of Larbi Ben M’hidi; | |
[2] Department of Mathematics, Faculty of Science, University of Jordan; | |
[3] Department of Mathematics, University of Constantine; | |
[4] Dipartimento Ingegneria Innovazione, Universita del Salento; | |
[5] Laboratory of Dynamical Systems and Control, University of Larbi Ben M’hidi; | |
[6] Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University; | |
关键词: Discrete fractional calculus; Control; Synchronization; Discrete Lorenz system; Discrete Wang system; Lyapunov approach; | |
DOI : 10.1186/s13662-020-03086-x | |
来源: DOAJ |
【 摘 要 】
Abstract 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.
【 授权许可】
Unknown