Master-slave synchronization of chaotic systems with a modified impulsive controller

被引：15
|
作者：
Feng, Guizhen [1 ,2 ]
Cao, Jinde [1 ,3 ]
机构：
[1] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
[2] Nanjing Inst Ind Technol, Dept Math & Phys, Nanjing 210023, Jiangsu, Peoples R China
[3] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
基金：
中国国家自然科学基金;
关键词：
impulsive synchronization; chaotic systems; impulsive controller; global; exponential synchronization; COMPLEX DYNAMICAL NETWORKS; DELAY;
D O I：
10.1186/1687-1847-2013-24
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates global exponential synchronization of chaotic systems by designing a novel impulsive controller. The novel impulsive controller is a combination of current and past error states, which is a modification of the normal impulsive one. Some global exponential stability criteria are derived for the error system by utilizing the stability analysis of impulsive differential equations and differential inequalities and, moreover, the exponential convergence rate can be specified. An illustrative example is given to show the effectiveness of the modified impulsive control scheme.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Master-slave synchronization of chaotic systems with a modified impulsive controller
    Guizhen Feng
    Jinde Cao
    [J]. Advances in Difference Equations, 2013
  • [2] Master-slave H∞ robust controller design for synchronization of chaotic systems
    Vesely, Vojtech
    Ilka, Adrian
    Korosi, Ladislav
    Ernek, Martin
    [J]. MODELING IDENTIFICATION AND CONTROL, 2019, 40 (01) : 41 - 50
  • [3] Master-slave synchronization of chaotic Lur'e systems under delayed impulsive control
    Chen Wu-Hua
    Wei Dan
    Wang Zipeng
    Lu Xiaomei
    [J]. PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1345 - 1350
  • [4] Generalized synchronization of chaotic systems in a master-slave configuration
    Lynnyk, Volodymyr
    Celikovsky, Sergej
    [J]. PROCESS CONTROL '21 - PROCEEDING OF THE 2021 23RD INTERNATIONAL CONFERENCE ON PROCESS CONTROL (PC), 2021, : 37 - 42
  • [5] On the synchronization of uncertain master-slave chaotic systems with disturbance
    Wang, Bo
    Wen, Guangjun
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (01) : 145 - 151
  • [6] H∞ robust controller design for the synchronization of master-slave chaotic systems with disturbance input
    Wang, Bo
    Shi, Peng
    Karimi, Hamid Reza
    Wang, Jun
    [J]. MODELING IDENTIFICATION AND CONTROL, 2012, 33 (01) : 27 - 34
  • [7] Master-slave synchronization of Lorenz systems using a single controller
    Oancea, Servilia
    Grosu, Florin
    Lazar, Anca Mihaela
    Grosu, Loan
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (05) : 2575 - 2580
  • [8] Master-Slave Synchronization for PWA Systems
    Boubaker, Olfa
    [J]. 2009 3RD INTERNATIONAL CONFERENCE ON SIGNALS, CIRCUITS AND SYSTEMS (SCS 2009), 2009, : 582 - 587
  • [9] Noise Immunity of Chaotic Synchronization in Master-Slave System
    Anstrangs, Davis Daniels
    Cirjulina, Darja
    Babajans, Ruslans
    Litvinenko, Anna
    Pikulin, Dmitrijs
    [J]. ADVANCES IN INFORMATION, ELECTRONIC AND ELECTRICAL ENGINEERING (AIEEE' 2019), 2019,
  • [10] Master-Slave Global Stochastic Synchronization of Chaotic Oscillators
    Porfiri, Maurizio
    Pigliacampo, Roberta
    [J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2008, 7 (03): : 825 - 842
12345