Wang Yong, Yu Nian-cai. On Robust Stability of a Class of Polynomial Families[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1041-1048.
Citation: Wang Yong, Yu Nian-cai. On Robust Stability of a Class of Polynomial Families[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1041-1048.

On Robust Stability of a Class of Polynomial Families

  • Received Date: 1992-07-13
  • Publish Date: 1993-12-15
  • In this paper, we discuss the robust stability of a class of polynomial families more general than the interval polynomial family and diamond polynomial family. We prove that the Hurwitz stability of some special cases of this class of polynomial families can be determined by checking finite polynomials. We also give an example to illustrate that it is not always possible to determine the Hurwitz stability of all this class of polynomial families by checking finite polynomials.
  • loading
  • [1]
    Kharitonov,V.L.,Asymptotical stability of an equilibrium positions of a family of systems of differential equations.Differential'nye Uravneniva,14(1978),2086-2088.
    [2]
    Tempo,R.,A dual result to Kharitonov's theorem,IEEE Trans.AC,134(1990).
    [3]
    Bartlett,A.C.,C.V.Hollot and L.Huang,Root locations of an entire polytope of polynomials:It suffices to check the edges,Math.Control.Signals Systems,1(1988),61-71.
    [4]
    黄琳、王龙,鲁棒稳定性分析的值映射与参数化方法.中国科学,A辑,(8)(1991).
    [5]
    于年才、黄琳,复多项式族鲁棒稳定性的边界定理,中国科学,A辑.(11)(1992),1177-1182.
    [6]
    Bilas,S.and J.Garloff,Convex combinations of stable polynomial,J.of the Franklin Institute,139,3(1985),3737-3739.
    [7]
    Hollot,C.V.,F.J.Kraus,R.Tempo and B.R.Barmish,Extreme point results for robust stabilization of interval plants with first order compensators,Proc.American Control Conference(1990),2533-2538.
  • 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 (1633) PDF downloads(479) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return