Singularities of stationary states of dynamic systems under control parameters change

被引:0
|
作者
Verbitskij, V.G.
机构
关键词
Bifurcation (mathematics) - Dynamics - Eigenvalues and eigenfunctions - Matrix algebra - Parameter estimation - Stability;
D O I
暂无
中图分类号
学科分类号
摘要
Two and three parametrical families of stationary states of dynamic system are considered. The loss of stability of the stationary states in a critical case of one zero eigenvalue of linearization matrix connected with real bifurcations. The manifold of stationary states in the appropriate point has singularity of cusp or butterfly.
引用
收藏
页码:10 / 16
相关论文
共 50 条
  • [31] Tracking of inputs, states and parameters of linear structural dynamic systems
    Maes, K.
    Karlsson, F.
    Lombaert, G.
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2019, 130 : 755 - 775
  • [32] Online tracking of inputs, states and parameters of structural dynamic systems
    Karlsson, F.
    Maes, K.
    Lombaert, G.
    LIFE-CYCLE ANALYSIS AND ASSESSMENT IN CIVIL ENGINEERING: TOWARDS AN INTEGRATED VISION, 2019, : 211 - 217
  • [33] DYNAMIC SYSTEMS WITH MULTIPLICITY OF STATIONARY STATE AND STRATEGY OF HIGHLY STEADY CONTROL
    Nagiev, Hasan A.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2011, 35 (43): : 117 - 126
  • [34] Some problems of dynamic equilibrium states in control systems
    Wang Li
    Wang Qinglin
    Proceedings of the First International Symposium on Test Automation & Instrumentation, Vols 1 - 3, 2006, : 1000 - 1006
  • [35] Control of Dynamic Processes of Navigation Systems Function States
    Chepizhenko, V.
    Tryzna, O.
    2014 IEEE 3RD INTERNATIONAL CONFERENCE ON METHODS AND SYSTEMS OF NAVIGATION AND MOTION CONTROL (MSNMC), 2014, : 35 - 36
  • [36] Stationary inventory control policies in supply systems under inflation conditions
    S. S. Granin
    A. S. Mandel’
    Automation and Remote Control, 2016, 77 : 1453 - 1460
  • [37] On periodizing solution of dynamic systems with the simplest symmetry under changing of control parameters. Part II
    Lobas, Leonid G.
    Journal of Automation and Information Sciences, 1999, 31 (7-9): : 22 - 33
  • [38] Stationary inventory control policies in supply systems under inflation conditions
    Granin, S. S.
    Mandel', A. S.
    AUTOMATION AND REMOTE CONTROL, 2016, 77 (08) : 1453 - 1460
  • [39] STUDY OF UNCONTROLLABILITY FOR LINEAR STATIONARY DYNAMIC-SYSTEMS WITH PARAMETERS ON THE BASIS OF CANONIC DECOMPOSITIONS
    UDILOV, VV
    FURSOV, AK
    AVTOMATIKA, 1985, (06): : 43 - 48
  • [40] Containment Control with Multiple Stationary or Dynamic Leaders Under a Directed Interaction Graph
    Cao, Yongcan
    Ren, Wei
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 3014 - 3019