JIANG Wei. The Controllability of Delay Degenerate Control Systems With Independent Subsystems[J]. Applied Mathematics and Mechanics, 2003, 24(6): 624-630.
Citation: JIANG Wei. The Controllability of Delay Degenerate Control Systems With Independent Subsystems[J]. Applied Mathematics and Mechanics, 2003, 24(6): 624-630.

The Controllability of Delay Degenerate Control Systems With Independent Subsystems

  • Received Date: 2002-01-30
  • Rev Recd Date: 2003-01-10
  • Publish Date: 2003-06-15
  • The controllability of delay degenerate differential control systems is discussed. Firstly, delay degenerate differential control system was transformed to be canonical form, and the connected terms were gotten rid of, had delay degenerate differential control systems with independent subsystems. For the general delay degenerate differnetial control systems, it was gotten that the necessary and sufficient condition of that they are controllable is that their reachable set is equal to the whole space. For the delay degenerate differential control systems with independent subsystems, it was gotten that the necessary and sufficient conditions of that they are controllable are that their reachable sets are equal to their corresponding subspaces. Then some algebra criteria were gotten. Finally, an example was given to illustrate the main results.
  • loading
  • [1]
    郑祖庥.泛函微分方程理论[M].合肥:安徽教育出版社,1994.
    [2]
    ЪояринцевЮЕ. МетоднРешенияВырожденныхСистемОбыкновенныДифференцальныхУравнениǔ[M].Москва: Наука,1988.
    [3]
    Campbell S L.Singular Systems of Differential Equation(Ⅱ)[M].San Francisco,London,Melbourne:Pitman,1982.
    [4]
    Dai L.Singular Control Systems[M].London,Paris,Tokyo:Springer-Verlag,1989.
    [5]
    Ronald B Zmood.The Euclidean space controllability of control systems with delay[J].SIAM J Control,1974,12(4):609-623.
    [6]
    张金水.广义系统经济控制论[M].北京:清华大学出版社,1990.
    [7]
    刘永清,关治洪.大型动力系统的理论与应用(卷5):测度型脉冲大系统的稳定*镇定与控制[M].广州:华南理工大学出版社,1996.
    [8]
    蒋威.非线性中立型控制系统的函数能控性[J].数学研究,1996,29(4):55-60.
    [9]
    JIANG Wei.The output controllability of linear system with delay[J].Ann Differential Equations,1995,10(5):39-44.
    [10]
    JIANG Wei,SONG Wen-zhong,FEI Su-min.The Function-Controllability of the Nonlinear Control Systems With State and Control Delay[M].London:World Scientific,2000,143-148.
    [11]
    蒋威,郑祖庥.退化微分系统的通解[J].数学学报,1999,42(5):769-780.
    [12]
    蒋威,郑祖庥.退化中立型微分系统的常数变易公式和通解[J].应用数学学报,1998,21(4):562-570.
    [13]
    JIANG Wei,ZHENG Zu-xiu.On the degenerate differential systems with delay[J].Ann Differential Equations,1998,14(2):204-211.
    [14]
    JIANG Wei,ZHENG Zu-xiu.The Solvability of the degenerate differential systems with delay[J].Chinese Quarterly Journal of Mathematics,2000,15(3):1-7.
    [15]
    JIANG Wei,ZHENG Zu-xiu.The algebraic criteria for the all-delay stability of two-dimensional degenerate differential systems with delay[J].Chinese Quarterly Journal of Mathematics,1998,13(1):87-93.
    [16]
    蒋威,郑祖庥.退化时滞差分系统的解[J].数学研究,1998,31(1):44-50.
    [17]
    Yip E L,Sincovec R F.Solvability, controllability and observability of continuous descriptor systems[J].IEEE Trans Automat Control,1981,26(3):702-706.
    [18]
    张国山,谢绪恺.广义分散控制系统的DR-能控性[J].控制理论与应用,1995,12(6):704-711.
    [19]
    唐万生,李光泉.广义系统的能控性、能观性判别条件[J].自动化学报,1995,21(1):63-66.
    [20]
    蒋威,王志成.广义时滞控制系统的能控性[J].湖南大学学报,1999,26(4):6-9.
    [21]
    JIANG Wei,SONG Wei-zhong.Controllability of singular systems with control delay[J].Automatica,2001,37(11):1873-1877.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2320) PDF downloads(783) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return