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

Peng Zheng1, Xiaozhen Guo2,*, 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: 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

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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APA Style
Zheng, P., Guo, X., Wen, G. (2022). Fixed-time adaptive time-varying matrix projective synchronization of time-delayed chaotic systems with different dimensions. Computer Modeling in Engineering & Sciences, 131(3), 1451-1463. https://doi.org/10.32604/cmes.2022.019769
Vancouver Style
Zheng P, Guo X, Wen G. Fixed-time adaptive time-varying matrix projective synchronization of time-delayed chaotic systems with different dimensions. Comput Model Eng Sci. 2022;131(3):1451-1463 https://doi.org/10.32604/cmes.2022.019769
IEEE Style
P. Zheng, X. Guo, and G. Wen "Fixed-Time Adaptive Time-Varying Matrix Projective Synchronization of Time-Delayed Chaotic Systems with Different Dimensions," Comput. Model. Eng. Sci., vol. 131, no. 3, pp. 1451-1463. 2022. https://doi.org/10.32604/cmes.2022.019769



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