On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation

On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation

For the singularly perturbed parabolic problem, a regularized asymptotics of the solution of the problem of optimal control was constructed. The solution asymptotics involves parabolic boundary-layer functions obeying a special function called the “complementary probability integral.”

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Veröffentlicht in:Automation and remote control 2011, Vol.72 (1), p.61-73
Hauptverfasser: Omuraliev, A. S., Rafatov, R. R.
Format: Artikel
Sprache:eng
Schlagworte:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Determinate Systems
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Robotics
Systems Theory
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Beschreibung
Zusammenfassung:For the singularly perturbed parabolic problem, a regularized asymptotics of the solution of the problem of optimal control was constructed. The solution asymptotics involves parabolic boundary-layer functions obeying a special function called the “complementary probability integral.”
ISSN:0005-1179
1608-3032
DOI:10.1134/S000511791101005X