Hybrid Synchronization Problem of a Class of Chaotic Systems by an Universal Control Method

被引：18
|
作者：
Wang, Zuoxun [1 ]
Guo, Rongwei [2 ]
机构：
[1] Qilu Univ Technol, Sch Elect Engn & Automat, Shandong Acad Sci, Jinan 250353, Shandong, Peoples R China
[2] Qilu Univ Technol, Shandong Acad Sci, Sch Math & Stat, Jinan 250353, Shandong, Peoples R China
来源：
SYMMETRY-BASEL | 2018年 / 10卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Chaos; complete synchronization; anti-synchronization; coexistence; simultaneous synchronization and anti-synchronization; universal control method; ANTI-SYNCHRONIZATION; PROJECTIVE SYNCHRONIZATION; BEHAVIOR; SCHEME; MODEL;
D O I：
10.3390/sym10110552
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The hybrid synchronization problem of a class of chaotic systems is investigated in this paper. Firstly, the existence of hybrid synchronization problems in such systems is proved theoretically by a proposed necessary and sufficient condition. That is, the hybrid synchronization problem is equivalent to solve a group of nonlinear algebraic equations about a. It is interesting that one value of a indicates one type of synchronization. Secondly, all solutions for the hybrid synchronization problem are obtained by finding solutions of all the above equations about a. Thirdly, an universal control method is proposed to realize such hybrid synchronization problems. Finally, illustrative examples are provided to verify the validity and effectiveness of the obtained results.
引用
收藏
页数：18
相关论文
共 50 条
  • [1] Synchronization of A Class of Chaotic and Hyperchaotic Systems via a Simple Universal Control Method
    Liu, Zhi
    Hao, Mingju
    FRONTIERS OF MECHANICAL ENGINEERING AND MATERIALS ENGINEERING, PTS 1 AND 2, 2012, 184-185 : 798 - 801
  • [2] Chaos control and hybrid projective synchronization for a class of new chaotic systems
    Jia, Nuo
    Wang, Tao
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (12) : 4783 - 4795
  • [3] A self-adaptive synchronization control method to a class of chaotic systems
    Pu Xingcheng
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MECHANICAL TRANSMISSIONS, VOLS 1 AND 2, 2006, : 1541 - 1545
  • [4] Projective synchronization of a class of chaotic systems by dynamic feedback control method
    Guo, Rongwei
    NONLINEAR DYNAMICS, 2017, 90 (01) : 53 - 64
  • [5] Projective synchronization of a class of chaotic systems by dynamic feedback control method
    Rongwei Guo
    Nonlinear Dynamics, 2017, 90 : 53 - 64
  • [6] On the Impulsive Synchronization Control for a Class of Chaotic Systems
    Wang, Bo
    Shi, Peng
    Dong, Xiucheng
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [7] Impulsive control for synchronization of a class of chaotic systems
    Zhang, Huaguang
    Huang, Wei
    Wang, Zhiliang
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2005, 12 : 153 - 161
  • [8] Impulsive control on the synchronization for a class of chaotic Systems
    Karimi, Hamid Reza
    Shi, Peng
    Wang, Bo
    2014 IEEE 23RD INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS (ISIE), 2014, : 2318 - 2322
  • [9] Synchronization control for a class of chaotic systems with uncertainties
    Yau, HT
    Lin, JS
    Yan, JJ
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (07): : 2235 - 2246
  • [10] Synchronization Method for a Class of Piecewise Chaotic Systems
    Shan Liang
    Liu Zhong
    Li Jun
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 319 - 323
12345