Resumo

FU, Jiaojiao; LUO, Runzi; HUANG, Meichun  e  SU, Haipeng. Fixed time synchronization of a class of chaotic systems based via the saturation control. Rev. mex. fis. [online]. 2021, vol.67, n.4, e041401.  Epub 14-Mar-2022. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.67.041401.

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.

Palavras-chave : Fixed time stability; fixed time synchronization; chaotic system.

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