A complete asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with geometric constraints

We consider an optimal control problem for solutions of a boundary value problem on an interval for a second-order ordinary differential equation with a small parameter at the second derivative. The control is scalar and is subject to geometric constraints. Expansions of a solution to this problem u...

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Veröffentlicht in:Proceedings of the Steklov Institute of Mathematics Jg. 296; H. Suppl 1; S. 119 - 127
1. Verfasser: Danilin, A. R.
Format: Journal Article Tagungsbericht
Sprache:Englisch
Veröffentlicht: Moscow Pleiades Publishing 01.04.2017
Springer Nature B.V
Schlagworte:
Asymptotic series
Boundary value problems
Differential equations
Geometric constraints
Mathematics
Mathematics and Statistics
Optimal control
Parameters
Singular perturbation
optimal control
singular perturbation problems
asymptotic expansion
small parameter
ISSN:0081-5438, 1531-8605
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Zusammenfassung:We consider an optimal control problem for solutions of a boundary value problem on an interval for a second-order ordinary differential equation with a small parameter at the second derivative. The control is scalar and is subject to geometric constraints. Expansions of a solution to this problem up to any power of the small parameter are constructed and justified.
Bibliographie:ObjectType-Article-1
ObjectType-Feature-2
SourceType-Conference Papers & Proceedings-1
content type line 22
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543817020110