The dynamic and discrete systems of variable fractional order in the sense of the Lozi structure map-Reference-Cited by-同舟云学术

The dynamic and discrete systems of variable fractional order in the sense of the Lozi structure map

Published:2023 Issue:1 Volume:8 Page:733-751
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Al-Saidi Nadia M. G.¹,Natiq Hayder²,Baleanu Dumitru³⁴⁵,Ibrahim Rabha W.⁶

Affiliation:

1. Department of Applied Sciences, University of Technology, Baghdad 10066, Iraq

2. Information Technology College, Imam Ja'afar Al-Sadiq University, Baghdad 10001, Iraq

3. Department of Mathematics, Cankaya University, Balgat 06530, Ankara, Turkey

4. Institute of Space Sciences, R76900 Magurele-Bucharest, Romania

5. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

6. Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, Nicosia/Mersin 10, Turkey

Abstract

<abstract><p>The variable fractional Lozi map (VFLM) and the variable fractional flow map are two separate systems that we propose in this inquiry. We study several key dynamics of these maps. We also investigate the sufficient and necessary requirements for the stability and asymptotic stability of the variable fractional dynamic systems. As a result, we provide VFLM with the necessary criteria to produce stable and asymptotically stable zero solutions. Furthermore, we propose a combination of these maps in control rules intended to stabilize the system. In this analysis, we take the 1D- and 2D-controller laws as givens.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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