Differential dynamic programming and Newton's method
作者： J. F. A. DE O. PANTOJA
DOI: 10.1080/00207178808906114
关键词: Dynamic programming 、 Differential dynamic programming 、 Optimal control 、 Mathematics 、 Newton's method 、 Mathematical optimization
摘要: A modified version of the original differential dynamic programming (DDP) algorithm for unconstrained discrete optimal control problems is described. This version, which differs from b...
sci-hub.se 参考文章(9)
H. H. Rosenbrock, D. H. Jacobson, D. Q. Mayne, Differential Dynamic Programming The Mathematical Gazette. ,vol. 56, pp. 78- ,(1972) , 10.2307/3613752
Elijah Polak, Clifton D. Cullum, Michael D. Canon, Theory of optimal control and mathematical programming ,(1969)
D. M. Murray, S. J. Yakowitz, Differential dynamic programming and Newton's method for discrete optimal control problems Journal of Optimization Theory and Applications. ,vol. 43, pp. 395- 414 ,(1984) , 10.1007/BF00934463
Richard Ernest Bellman, Stuart E. Dreyfus, Applied Dynamic Programming ,(1962)
James M. Ortega, Werner C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables ,(1970)
DAVID MAYNE, A Second-order Gradient Method for Determining Optimal Trajectories of Non-linear Discrete-time Systems International Journal of Control. ,vol. 3, pp. 85- 95 ,(1966) , 10.1080/00207176608921369
Ake Bjorck, Germund Dahlquist, N. Anderson, Numerical methods ,(1974)
D. Q. Mayne, E. Polak, An exact penalty function algorithm for optimal control problems with control and terminal equality constraints, part 1 Journal of Optimization Theory and Applications. ,vol. 32, pp. 211- 246 ,(1980) , 10.1007/BF00934725
Richard E. Bellman, Stuart E Dreyfus, Applied Dynamic Programming Princeton University Press. ,(1962) , 10.1515/9781400874651