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

Authors

  • 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

Abstract

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.

Downloads

Published

2025-10-30

Issue

Vol. 43 (2025)

Section

Research Articles

License

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).

 

How to Cite

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
Crossref
Scopus
Google Scholar
Europe PMC