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Model and criteria on the global finite-time synchronization of the chaotic gyrostat systems

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  • Chen, Yun
  • Xu, Yanyi
  • Lin, Qian
  • Zhang, Xiyong

Abstract

The aim of this paper is to design a simple and continuous controller, named the variable substitution and feedback controller (VSFC), to investigate global finite-time synchronization of the chaotic gyrostat systems. By constructing the finite-time synchronization model for the master–slave gyrostat systems under the new designed VSFC, a finite-time synchronization criterion is presented with theoretically strict proof and the corresponding synchronization time is estimated by an explicit expression. Subsequently, applying the criterion and the optimization technique, some algebraic criteria with respect to various single VSFCs are further proven and optimized. Finally, three examples are presented to support the obtained results by comparing global asymptotic synchronization of the master–slave gyrostat systems under the VSC suggested in our previous work, with global finite-time synchronization of the master–slave gyrostat systems under the VSFC designed in this paper.

Suggested Citation

  • Chen, Yun & Xu, Yanyi & Lin, Qian & Zhang, Xiyong, 2020. "Model and criteria on the global finite-time synchronization of the chaotic gyrostat systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 515-533.
    • Handle: RePEc:eee:matcom:v:178:y:2020:i:c:p:515-533
    DOI: 10.1016/j.matcom.2020.06.022
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    1. Muhammad Marwan & Vagner Dos Santos & Muhammad Zainul Abidin & Anda Xiong, 2022. "Coexisting Attractor in a Gyrostat Chaotic System via Basin of Attraction and Synchronization of Two Nonidentical Mechanical Systems," Mathematics, MDPI, vol. 10(11), pages 1-15, June.

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