@inproceedings{aa2d46c53bc34645bc7b961d70a90af4,
title = "Novel Control Law for the Fractional-order Chaotic Duffing Map",
abstract = "The work reported in this paper concerns a study of chaos control of fractional-order maps, especially the two-dimensional fractional-order Duffing map, which is outlined here in the sense of the Caputo h-difference operator. For the purpose of stabilizing the dynamics of the established map, some simple linear control laws are proposed and verified numerically. The chaos control is accomplished by introducing a novel result which its proof relies on selecting a suitable Lyapunov function and proper linear control law. Several numerical simulations are performed to emphasize the influence of the established scheme.",
keywords = "Discrete fractional calculus, fractional-order Duffing map, linear control, Lyapunov method",
author = "Adel Ouannas and Batiha, \{Iqbal M.\} and Khennaoui, \{Amina Aicha\} and Amjed Zraiqat and Al-Nana, \{Abeer A.\}",
note = "Publisher Copyright: {\textcopyright} 2021 IEEE.; 2021 International Conference on Information Technology, ICIT 2021 ; Conference date: 14-07-2021 Through 15-07-2021",
year = "2021",
month = jul,
day = "14",
doi = "10.1109/ICIT52682.2021.9491768",
language = "English",
series = "2021 International Conference on Information Technology, ICIT 2021 - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "238--241",
booktitle = "2021 International Conference on Information Technology, ICIT 2021 - Proceedings",
address = "United States",
}