@inproceedings{f7f3aa55b60842f08a43eaa503294cd3,
title = "Control of Chaos in Memristives Systems Using Fractional Discrete Calculus",
abstract = "Adding a merimstive term to a non-linear model enables the use of memristive inherent properties for strong and extremely sophisticated data security. Using a non-linear control approach, we study the stabilization of 3D fractional chaotic memristive maps defined by the Caputo-like difference operator. The dynamics of the fractional chaotic memory maps in two and three dimensions were first governed by a few basic linear control rules that we developed. We also describe a variety of appropriate techniques to stabilize the fractional chaotic memorritive maps utilizing adaptive non-linear governors. The stability conditions theorem and the Caputo-like difference operator's properties were used to obtain the results. Lastly, relevant simulation data is used to validate the developed non-linear controllers' validity.",
keywords = "chaos, control, discrete fractional calculus, memrsitive map",
author = "Batiha, \{Iqbal M.\} and Louiza Diabi and Adel Ouannas and Jebril, \{Iqbal H.\} and Jamal Oudetallah and Shaher Momani",
note = "Publisher Copyright: {\textcopyright} 2025 IEEE.; 12th International Scientific Conference on Information Technology, ICIT 2025 ; Conference date: 27-05-2025 Through 30-05-2025",
year = "2025",
doi = "10.1109/ICIT64950.2025.11049112",
language = "English",
series = "Proceeding - 12th International Conference on Information Technology: Innovation Technologies, ICIT 2025",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "105--108",
editor = "Jaber, \{Khalid Mohammad\}",
booktitle = "Proceeding - 12th International Conference on Information Technology",
address = "United States",
}