On certain approaches to optimization of control processes. II

We consider a general approach to constructing efficient iterative procedures with extension and localization principles, sufficient optimality conditions, and global estimates. We pay special attention to new constructive methods based on the minimax control improvement principle of V.F. Krotov. As...

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Bibliographic Details
Published in:Automation and remote control 2016-09, Vol.77 (9), p.1544-1556
Main Authors: Gurman, V. I., Rasina, I. V., Fesko, O. V., Guseva, I. S.
Format: Article
Language:English
Subjects:
Approximation
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Construction methods
Control
Estimates
Localization
Mathematical analysis
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Minimax technique
Nonlinear Systems
Optimization
Remote control
Robotics
Systems Theory
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Summary:We consider a general approach to constructing efficient iterative procedures with extension and localization principles, sufficient optimality conditions, and global estimates. We pay special attention to new constructive methods based on the minimax control improvement principle of V.F. Krotov. As an in-depth example, we solve the optimization problem for a therapeutic process. This is the second of two papers devoted to approximate control optimization; it continues the first one [1], which proposed a general scheme for solving the said problem and considered in detail the stage of finding the initial approximation.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117916090034