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

  • 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.

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Published
2025-10-30
Issue
Vol 43 (2025)
Section
Research Articles

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