Discontinuous solutions of the optimal control problems. Iterative optimization method

Consideration was given to the class of optimal control problems for the differential systems with unbounded linear control and, in particular, the classes of problems for the bilinear systems. Such problems are distinguished for the lack of minimum (maximum) on the ordinary class of permissible pro...

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Bibliographic Details
Published in:Automation and remote control 2013-12, Vol.74 (12), p.1948-1968
Main Authors: Krotov, V. F., Morzhin, O. V., Trushkova, E. A.
Format: Article
Language:English
Subjects:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Closures
Computer-Aided Engineering (CAD
Control
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Robotics
Systems Theory
Topical Issue
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Summary:Consideration was given to the class of optimal control problems for the differential systems with unbounded linear control and, in particular, the classes of problems for the bilinear systems. Such problems are distinguished for the lack of minimum (maximum) on the ordinary class of permissible processes (continuous trajectories, sectionally continuous controls) and for reaching it on some closure of this class including processes with discontinuous trajectories. A direct iterative method for optimization of controls was developed.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117913120035