An asymptotic method for a singularly perturbed linear-quadratic optimal control problem (Q1571236)
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scientific article; zbMATH DE number 1472967
| Language | Label | Description | Also known as |
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| English | An asymptotic method for a singularly perturbed linear-quadratic optimal control problem |
scientific article; zbMATH DE number 1472967 |
Statements
An asymptotic method for a singularly perturbed linear-quadratic optimal control problem (English)
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24 July 2001
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In this paper the minimum-energy control problem for a linear singularly perturbed system is considered. The terminal state of the system and the transition time are assumed to be known, and the control actions are assumed to be bounded in absolute value. An algorithm for asymptotic approximations of arbitrary order to the solution of the problem in question is proposed.
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optimal control problem
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asymptotic method
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singularly perturbed system
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solution
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linear-quadratic problem
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