Fixed time synchronization of a class of chaotic systems based via the saturation control

Authors

  • Jiaojiao Fu
  • Runzi Luo
  • Meichun Huang
  • Haipeng Su

DOI:

https://doi.org/10.31349.RevMexFis.67.041201

Keywords:

Fixed time stability, Fixed time synchronization, Chaotic system

Abstract

In this paper, we discuss the fixed time synchronization of a class of chaotic systems based on the backstepping control with disturbances. A new and important fixed time stability theorem is presented. The upper bound estimate formulas of the settling time are also given which are different from the existing results in the literature. Based on the new fixed time stability theorem, a novel saturation controller for the fixed time synchronization a class of chaotic systems is proposed via the backstepping method. Finally, the new chaotic system is taken as an example to illustrate the applicability of the obtained theory.

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Published

2021-07-02

Issue

Section

14 Other areas in Physics