Title: New result about parameters identification of delayed chaotic systems: a target system-based method

Authors: Qianwen Xue; Fei Wang; Xin Sui

Addresses: School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, 273165, China ' School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, 273165, China ' School of Mathematics and Information Science, Yantai University, Yantai, Shandong, 264005, China

Abstract: In this paper, the parameter identification problem of a class of time-delay chaotic systems is studied based on the method of target systems. First of all, this paper gives a time-delay chaotic system model with unknown parameters, a target system and adaptive feedback controllers. Then, the corresponding updated laws of the adaptive parameters and control gains are designed, and it is strictly proved that the adaptive parameters will converge to the real values of unknown parameters through Lyapunov stability theory and Babarat's lemma. Finally, we give several numerical simulation examples to verify the effectiveness of the theoretical results. We show that the unknown parameters of some systems cannot be identified by the classical adaptive synchronisation method, but the method proposed in this paper can still work.

Keywords: parameters identification; adaptive synchronisation; delayed chaotic systems.

DOI: 10.1504/IJSCC.2023.129911

International Journal of Systems, Control and Communications, 2023 Vol.14 No.2, pp.99 - 115

Received: 11 Feb 2022
Accepted: 24 Jun 2022
Published online: 03 Apr 2023 *

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