Absolute Stability and Master-Slave Synchronization of Systems with State-Dependent Nonlinearities

被引：2
|
作者：
Li, Rong [1 ]
Liu, Bo [2 ]
Liu, Chao [3 ]
机构：
[1] Shanghai Finance Univ, Dept Appl Math, Shanghai 201209, Peoples R China
[2] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
[3] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷
基金：
美国国家科学基金会;
关键词：
LURE SYSTEMS; ROBUST STABILITY;
D O I：
10.1155/2013/326560
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper is concerned with the problems of absolute stability and master-slave synchronization of systems with state-dependent nonlinearities. The Kalman-Yakubovich-Popov (KYP) lemma and the Schur complement formula are applied to get novel and less conservative stability conditions. A numerical example is presented to illustrate the efficiency of the stability criteria. Furthermore, a synchronization criterion is developed based on the proposed stability results.
引用
收藏
页数：6
相关论文
共 50 条
  • [1] Absolute stability theory and master-slave synchronization
    Curran, PF
    Suykens, JAK
    Chua, LO
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (12): : 2891 - 2896
  • [2] Revisited criteria for absolute stability of systems with state-dependent nonlinearities
    Rong, Li
    Chao, Liu
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1368 - 1372
  • [3] Master-Slave Synchronization for PWA Systems
    Boubaker, Olfa
    2009 3RD INTERNATIONAL CONFERENCE ON SIGNALS, CIRCUITS AND SYSTEMS (SCS 2009), 2009, : 582 - 587
  • [4] Master-slave synchronization of Lur'e systems with sector and slope restricted nonlinearities
    Ji, D. H.
    Park, Ju H.
    Won, S. C.
    PHYSICS LETTERS A, 2009, 373 (11) : 1044 - 1050
  • [5] MASTER-SLAVE SYNCHRONIZATION OF LUR'E SYSTEMS WITH GENERAL SECTOR-BOUNDED NONLINEARITIES
    Han, Qing-Long
    Mehdi, Driss
    Han, Dongsheng
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (02): : 517 - 529
  • [6] Master-Slave Synchronization of Lur'e Systems
    Suykens, J. A. K.
    Vandewalle, J.
    International Journal of Bifurcations and Chaos in Applied Sciences and Engineering, 7 (03):
  • [7] Master-slave synchronization of Lur'e systems
    Suykens, JAK
    Vandewalle, J
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (03): : 665 - 669
  • [8] Robust Master-Slave Synchronization of Neuronal Systems
    Puebla, Hector
    Hernandez-Martinez, Eliseo
    Rodriguez-Jara, Mariana
    Lopez-Monsalvo, Cesar S.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
  • [9] On the geometry of master-slave synchronization
    Martens, M
    Pécou, E
    Tresser, C
    Worfolk, P
    CHAOS, 2002, 12 (02) : 316 - 323
  • [10] Generalized synchronization of chaotic systems in a master-slave configuration
    Lynnyk, Volodymyr
    Celikovsky, Sergej
    PROCESS CONTROL '21 - PROCEEDING OF THE 2021 23RD INTERNATIONAL CONFERENCE ON PROCESS CONTROL (PC), 2021, : 37 - 42
12345