Application of contraction theory for Synchronization  of complex chaotic T-system

Rogayeh Soltani; Bashir Naderi; Saeed Nezhadhosein; Aghileh Heydari

doi:10.5269/bspm.68604

Application of contraction theory for Synchronization of complex chaotic T-system

Auteurs-es

Rogayeh Soltani Department of Mathematics, Payame Noor University, I. R. of Iran
Bashir Naderi Payame noor university
Saeed Nezhadhosein Department of Mathematics, Payame Noor University(PNU), Tehran, Iran
Aghileh Heydari Department of Mathematics, Payame Noor University(PNU), Tehran, Iran

DOI :

https://doi.org/10.5269/bspm.68604

Résumé

In this paper, we investigate the synchronization of the complex chaotic T-system, with known and unknown parameters. In addition, the behavior of this system for new parameters is discussed. The controllers and estimation rule of unknown parameter are designed by using contraction theory (CT). The main feature of the proposed approach is that the control design and the stability of the synchronization error are obtained without using Lyapunov functions.
The numerical simulations confirm that the purposed method is robust and applicable for mentioned systems.

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Publié

2025-10-30

Numéro

Vol. 43 (2025)

Rubrique

Research Articles

Licence

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

Comment citer

Soltani, R., Naderi, B., Nezhadhosein, S., & Heydari, A. (2025). Application of contraction theory for Synchronization of complex chaotic T-system . Boletim Da Sociedade Paranaense De Matemática, 43, 1-12. https://doi.org/10.5269/bspm.68604