Finite-time and fixed-time impulsive synchronization of chaotic systems

Wengang Ao, Tiedong Ma, René Vinicio Sanchez, Haitao Gan

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


This paper investigates the finite-time and fixed-time synchronization of chaotic systems with impulsive control method. Based on the theory of impulsive differential system, Lyapunov stability and finite-time control technique, some new sufficient criteria are derived to achieve the finite-time and fixed-time synchronization of chaotic systems. Different from the existing methods of finite-time and fixed-time synchronization scheme, the effective impulsive control protocol is exerted to obtain faster convergence speed and less state information transmission, which is more flexible and practical in real systems. Finally, the simulation is given to illustrate the effectiveness and validity of the theoretical results.

Original languageEnglish
Pages (from-to)11545-11557
Number of pages13
JournalJournal of the Franklin Institute
Issue number16
StatePublished - Nov 2020

Bibliographical note

Funding Information:
This work was supported by the MOST Science and Technology Partnership Program under Grant KY201802006, National Natural Science Foundation of China under Grant 61673078 , Basic and Frontier Research Project of Chongqing under Grants cstc2018jcyjAX0369 , cstc2017jcyjAX0037 and cstc2015jcyjA40038 , the Fundamental Research Funds for the Central Universities under Grants 2019CDYGZD010 , 2019CDCGZDH207 and 2019CDCGZDH211 , Open Project Funded by the Key Lab for OCME, School of Mathematical Sciences, Chongqing Normal University , under Grant CSSXKFKTY201805 .

Publisher Copyright:
© 2019 The Franklin Institute

Copyright 2020 Elsevier B.V., All rights reserved.


Dive into the research topics of 'Finite-time and fixed-time impulsive synchronization of chaotic systems'. Together they form a unique fingerprint.

Cite this