Constraint partitioning for structure in path-constrained dynamic optimization problems

被引：6
作者：
Raha, S
Petzold, LR [1 ]
机构：
[1] Univ Calif Santa Barbara, Dept Mech & Environm Engn, Santa Barbara, CA 93106 USA
[2] Univ Calif Santa Barbara, Dept Comp Sci, Santa Barbara, CA 93106 USA
[3] Univ Minnesota, Dept Comp Sci, Sci Computat Program, Minneapolis, MN 55455 USA
来源：
APPLIED NUMERICAL MATHEMATICS | 2001年 / 39卷 / 01期
基金：
美国国家科学基金会;
关键词：
dynamic optimization; structure; path constraints; constraint partitioning;
D O I：
10.1016/S0168-9274(01)00055-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper an algorithm for identifying an index 1 or 2 differential-algebraic subsystem from a possibly higher index path-constrained dynamical system is proposed. The algorithm is useful for diagnostic purposes in model development, and in the formulation of dynamic optimization problems to be solved by shooting or multiple shooting type methods. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码：105 / 126
页数：22
相关论文
共 21 条
  • [11] Hairer E., 1986, SOLVING ORDINARY DIF
  • [12] Hairer E., 1991, SOLVING ORDINARY DIF
  • [13] STIFFNESS OF ODES
    HIGHAM, DJ
    TREFETHEN, LN
    [J]. BIT, 1993, 33 (02): : 285 - 303
  • [14] Logarithmic norms for matrix pencils
    Higueras, I
    García-Celayeta, B
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1999, 20 (03) : 646 - 666
  • [15] JARVIS RB, 1992, AICHE 1992 ANN M SES
  • [16] INDEX REDUCTION IN DIFFERENTIAL-ALGEBRAIC EQUATIONS USING DUMMY DERIVATIVES
    MATTSSON, SE
    SODERLIND, G
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (03) : 677 - 692
  • [17] PETZOLD L, DASPK 3 0 USERS GUID
  • [18] Constraint partitioning for stability in path-constrained dynamic optimization problems
    Raha, S
    Petzold, LR
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2001, 22 (06) : 2051 - 2074
  • [19] Differential-algebraic equations of index 1 may have an arbitrarily high structural index
    Reissig, G
    Martinson, WS
    Barton, PI
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2000, 21 (06) : 1987 - 1990
  • [20] REYMOND JD, 1989, THESIS U GENEVA
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