Three-dimensional fractional system with the stability condition and chaos control

Year 2022, Volume: 2 Issue: 1, 41 - 47, 31.03.2022

Molood Gholami Reza Khoshsiar Ghaziani Zohreh Eskandari

https://doi.org/10.53391/mmnsa.2022.01.004

Cited By: 15

Abstract

A three-dimensional system is introduced in this paper and its local stability is analyzed. Our study establishes the validity and uniqueness of the linear feedback control for the proposed system and proves its existence and uniqueness. The numerical simulation algorithm described by Atanackovic and Stankovic is finally applied. The analytical results are analyzed and the dynamics of the system are explored in more detail.

Keywords

Fractional-order system, stability, control, chaotic system

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