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
  • [21] Synchronization for a class of chaotic systems
    Yang, Tao
    Shao, Hui-He
    Wuli Xuebao/Acta Physica Sinica, 2002, 51 (04):
  • [22] Synchronization for a class of chaotic systems
    Yang, T
    Shao, HH
    ACTA PHYSICA SINICA, 2002, 51 (04) : 742 - 748
  • [23] Synchronization in a Class of Chaotic Systems
    Telenchana, J.
    Acosta, A.
    Garcia, P.
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2023,
  • [24] Chaotic Synchronization for a Class of Different Chaotic (Hyperchaotic) Systems via Feedback Control
    Zhou, Ping
    Wei, Li-Jia
    2008 3RD INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEM AND KNOWLEDGE ENGINEERING, VOLS 1 AND 2, 2008, : 211 - 214
  • [25] Adaptive control and synchronization in a class of partially unknown chaotic systems
    Noroozi, N.
    Roopaei, M.
    Karimaghaee, P.
    CHAOS, 2009, 19 (02)
  • [26] Fixed time control and synchronization of a class of uncertain chaotic systems with disturbances via passive control method
    Su, Haipeng
    Luo, Runzi
    Fu, Jiaojiao
    Huang, Meichun
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2022, 198 : 474 - 493
  • [27] Synchronization control for chaotic systems based on adaptive method
    Wu Qing-qing
    Li Tao
    2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 3010 - 3015
  • [28] Synchronization of a Class of Chaotic Systems with Both Uncertainty and Disturbance by the UDE-Based Control Method
    Wang, Zuoxun
    Sha, Hongsheng
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [29] Synchronization of a class of chaotic systems with both uncertainty and disturbance by the UDE-based control method
    Sha, Hongsheng
    Wang, Zuoxun
    Wang, Guijuan
    PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 849 - 853
  • [30] Synchronization of a class of uncertain chaotic systems
    Zhou, Yaopeng
    PROCEEDINGS OF THE 2015 INTERNATIONAL INDUSTRIAL INFORMATICS AND COMPUTER ENGINEERING CONFERENCE, 2015, : 152 - 154
12345