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.
Bibliographical noteFunding 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 .
© 2019 The Franklin Institute
Copyright 2020 Elsevier B.V., All rights reserved.