Deng Zi-chen, Zhong Wan-xie. The Application of the Variational Principle in the Constrained Control System[J]. Applied Mathematics and Mechanics, 1994, 15(6): 489-494.
Citation: Deng Zi-chen, Zhong Wan-xie. The Application of the Variational Principle in the Constrained Control System[J]. Applied Mathematics and Mechanics, 1994, 15(6): 489-494.

The Application of the Variational Principle in the Constrained Control System

  • Received Date: 1992-08-25
  • Publish Date: 1994-06-15
  • The regular equations on the constraint variables are established for LQ and nonlinear control problems in this paper,then the extreme-value principles of the constraint variables are discussed for the equality and unequalitp constraint cases respectively.At lasi,the given ecample verifies the conclusion of this paper, The work in this paper will lay the foundation for the furthe study about the constrained LQ and nonlinear control spstems.
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  • [1]
    Zhong Wan-xie and Zhong Xiang-xiang,Computational structure mechanics optimal control and semi-analytical method for PDE,Computers & Strucfures,37(6)(1990),993-1004.
    [2]
    邓子辰,计算结构力学与最优控制模拟理论的研究,大连理工大学博士论文(1992).
    [3]
    钱伟长,《变分法及有限元》.科学出版社(1980).
    [4]
    胡海昌,《弹性力学的变分原理及其应用》,科学出版社(1981).
    [5]
    解学书,《最优控制理论与应用》.清华大学出版社(1986).
    [6]
    Stengel,R,F.,Stochastic Optimal Control,John Wiley & Sons(1986).
    [7]
    钟万怨,离散LQ控制问题线性约束的变分原理及二次规划解法,《计算结构力学与最优控制的模拟论文集》,大连理工大学工程力学研究(1990,7),155-168.
    [8]
    高为炳.《非线性注制系统导论》.科学出版社(1988).
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