A unified theory of maximum principle for continuous and discrete time optimal control problems

Mathematical Control and Related Fields ◽

10.3934/mcrf.2012.2.195 ◽

2012 ◽

Vol 2 (2) ◽

pp. 195-215 ◽

Author(s):

Zaidong Zhan ◽

Shuping Chen ◽

Wei Wei

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Discrete Time ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

Unified Theory ◽

Download Full-text

Non-linear programming and the maximum principle for discrete time optimal control problems

Revue française d automatique informatique recherche opérationnelle Recherche opérationnelle ◽

10.1051/ro/197509v300751 ◽

1975 ◽

Vol 9 (V3) ◽

pp. 75-91 ◽

Author(s):

T. L. Magnanti

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Maximum Principle ◽

Discrete Time ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

The Maximum Principle ◽

Non Linear Programming ◽

Download Full-text

An Accelerator for Packages Solving Discrete-Time Optimal Control Problems

IFAC Proceedings Volumes ◽

10.3182/20080706-5-kr-1001.02422 ◽

2008 ◽

Vol 41 (2) ◽

pp. 14295-14300 ◽

Author(s):

Hoam Chung ◽

Elijah Polak ◽

Shankar Sastry

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

Download Full-text

A decomposition technique for discrete time optimal control problems with an application to water resources management

Mathematical and Computer Modelling ◽

10.1016/0895-7177(90)90115-4 ◽

1990 ◽

Vol 13 (1) ◽

pp. 61-78 ◽

Author(s):

T.A. Edmunds ◽

J.F. Bard

Keyword(s):

Optimal Control ◽

Water Resources ◽

Water Resources Management ◽

Discrete Time ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

Decomposition Technique ◽

Resources Management ◽

Download Full-text

Discrete-Time Optimal Control Problems

Optimal Control Theory ◽

10.1007/978-981-33-6292-5_7 ◽

2021 ◽

pp. 277-341

Author(s):

Zhongjing Ma ◽

Suli Zou

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

Download Full-text

Conjugate Gradient Approach for Discrete Time Optimal Control Problems with Model-Reality Differences

10.5772/intechopen.89711 ◽

2019 ◽

Author(s):

Sie Long Kek ◽

Sy Yi Sim ◽

Wah June Leong ◽

Kok Lay Teo

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Conjugate Gradient ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

Time Optimal ◽

Gradient Approach

Download Full-text

Solution of discrete-time optimal control problems on parallel computers

Parallel Computing ◽

10.1016/0167-8191(90)90060-m ◽

1990 ◽

Vol 16 (2-3) ◽

pp. 221-237 ◽

Author(s):

Stephen J Wright

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Optimal Control Problems ◽

Parallel Computers ◽

Time Optimal Control ◽

Control Problems ◽

Download Full-text

Nonlinearly constrained discrete-time optimal-control problems

Applied Mathematics and Computation ◽

10.1016/0096-3003(90)90024-w ◽

1990 ◽

Vol 38 (3) ◽

pp. 227-248 ◽

Author(s):

K.L. Teo ◽

Y. Liu ◽

C.J. Goh

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

Download Full-text

A second-order variational method for discrete-time optimal control problems

Journal of the Franklin Institute ◽

10.1016/s0016-0032(68)90580-2 ◽

1968 ◽

Vol 286 (4) ◽

pp. 321-330 ◽

Author(s):

A.J. Koivo

Keyword(s):

Optimal Control ◽

Variational Method ◽

Discrete Time ◽

Optimal Control Problems ◽

Second Order ◽

Time Optimal Control ◽

Control Problems ◽

Download Full-text

First-Order Optimality Conditions for a Class of Discrete-Time Optimal Control Problems

Advances in Applied Mathematics ◽

10.12677/aam.2016.54089 ◽

2016 ◽

Vol 05 (04) ◽

pp. 773-782

Author(s):

小杭杨

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Discrete Time ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

First Order ◽

Time Optimal ◽

First Order Optimality Conditions

Download Full-text

Turnpike Properties of Approximate Solutions of Discrete-Time Optimal Control Problems on Compact Metric Spaces

Variational and Optimal Control Problems on Unbounded Domains - Contemporary Mathematics ◽

10.1090/conm/619/12392 ◽

2014 ◽

pp. 209-224 ◽

Author(s):

Alexander Zaslavski

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Metric Spaces ◽

Optimal Control Problems ◽

Approximate Solutions ◽

Time Optimal Control ◽

Control Problems ◽

Compact Metric Spaces ◽

Download Full-text