Tian Gen-bao, Lin Zong-chi. Singularly Perturbed Methods in the Theory of Optimal Control of Systems Governed by Partial Differential Equations[J]. Applied Mathematics and Mechanics, 1994, 15(8): 679-684.
Citation: Tian Gen-bao, Lin Zong-chi. Singularly Perturbed Methods in the Theory of Optimal Control of Systems Governed by Partial Differential Equations[J]. Applied Mathematics and Mechanics, 1994, 15(8): 679-684.

Singularly Perturbed Methods in the Theory of Optimal Control of Systems Governed by Partial Differential Equations

  • Received Date: 1993-05-14
  • Publish Date: 1994-08-15
  • In this paper, the various problems associated with the optimal control of srstems governed by partial differential equations are introduced by using singular.ly perturbed methods for analysis based on state equations, or the cost function and also state equations defined in perturbed domains.
  • loading
  • [1]
    Kokotovic,P.V.,R.E.O'Malley,Jr.and P.Sannuti,Singular perturbations and order reduction in control theory-An overview,Automatica,12(1976),123-129.
    [2]
    Kokotovic,P.V.and R.A.Vackel,Singular perturbation theory of linear state regulaters,IEEE Trans.Aut.Contr.,AC-17(1972),29-37.
    [3]
    Lions,J.L.,Controle Optimal de Systems9 Gouvernes Par des Equations aux Derivees Partielleso Dunod,Paris(1968);(English trans,by S.K.Mitter.Springer)(1971).
    [4]
    Visik,M.I.and L.A.Lyusternik,Regular degeneration and boundary layer for linear differential equations with small parameter,Usp.Mat.Nauko 12,5(77),3-122(in Russian);AMS Transl.,ser.2,20,(1962),239-364.
    [5]
    Линъ Цзун-чн(林宗池),Возмушоние решсний и возмущение собствнных значений и собственных Функций эллиптических уравнений второго порядка привозмушении граниды ДАН СССР.157(4)(1964),784-787.
    [6]
    Lions,J.L.,Perturbations singulieres dans les problems aux limites et en controle optimal,Lecture Notes in Mathematibs,Springer-Verlag(1973).
  • 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 (2045) PDF downloads(485) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return