Open Access

ARTICLE

Fixed-Time Adaptive Time-Varying Matrix Projective Synchronization of Time-Delayed Chaotic Systems with Different Dimensions

by Peng Zheng¹, Xiaozhen Guo^2,*, Guoguang Wen³

1 Department of Computer Science, University of Liverpool, Liverpool, L69 3BX, UK
2 ORDOS No. 1 High School East Campus, Erdos, 017010, China
3 Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China

* Corresponding Author: Xiaozhen Guo. Email:

(This article belongs to the Special Issue: Modeling and Analysis of Autonomous Intelligence)

Computer Modeling in Engineering & Sciences 2022, 131(3), 1451-1463. https://doi.org/10.32604/cmes.2022.019769

Received 14 October 2021; Accepted 16 November 2021; Issue published 19 April 2022

Abstract

This paper deals with the fixed-time adaptive time-varying matrix projective synchronization (ATVMPS) of different dimensional chaotic systems (DDCSs) with time delays and unknown parameters. Firstly, to estimate the unknown parameters, adaptive parameter updated laws are designed. Secondly, to realize the fixed-time ATVMPS of the time-delayed DDCSs, an adaptive delay-unrelated controller is designed, where time delays of chaotic systems are known or unknown. Thirdly, some simple fixed-time ATVMPS criteria are deduced, and the rigorous proof is provided by employing the inequality technique and Lyapunov theory. Furthermore, the settling time of fixed-time synchronization (Fix-TS) is obtained, which depends only on controller parameters and system parameters and is independent of the system’s initial states. Finally, simulation examples are presented to validate the theoretical analysis.

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Keywords

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