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.
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 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.
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.