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

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

doi:10.1016/j.jfranklin.2019.07.023

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

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

Grupo de Investigación y Desarrollo en Tecnologías Industriales (GIDTEC)

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

27 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	11545-11557
Número de páginas	13
Publicación	Journal of the Franklin Institute
Volumen	357
N.º	16
DOI	https://doi.org/10.1016/j.jfranklin.2019.07.023
Estado	Publicada - nov. 2020

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

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10.1016/j.jfranklin.2019.07.023

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title = "Finite-time and fixed-time impulsive synchronization of chaotic systems",

abstract = "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.",

author = "Wengang Ao and Tiedong Ma and Sanchez, {Ren{\'e} Vinicio} and Haitao Gan",

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: {\textcopyright} 2019 The Franklin Institute Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

month = nov,

doi = "10.1016/j.jfranklin.2019.07.023",

language = "English",

volume = "357",

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journal = "Journal of the Franklin Institute",

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T1 - Finite-time and fixed-time impulsive synchronization of chaotic systems

AU - Ao, Wengang

AU - Ma, Tiedong

AU - Sanchez, René Vinicio

AU - Gan, Haitao

N1 - 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: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/11

Y1 - 2020/11

N2 - 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.

AB - 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.

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U2 - 10.1016/j.jfranklin.2019.07.023

DO - 10.1016/j.jfranklin.2019.07.023

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SN - 0016-0032

VL - 357

SP - 11545

EP - 11557

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 16

ER -

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

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