\(S\)-regular controlled plants (Q1742188)
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scientific article; zbMATH DE number 6858336
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(S\)-regular controlled plants |
scientific article; zbMATH DE number 6858336 |
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\(S\)-regular controlled plants (English)
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11 April 2018
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The paper deals with the minimum-time linear control problem with convex constraints on admissible controls. The notion of S-regular linear control problem is introduced. It is shown that S-regularity of the problem guarantees strict convexity of the reachability set at each moment \(t>0\). Uniqueness of the optimal control is thus proven.
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reachability set
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convex optimization
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linear controlled plant
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strict convexity of a convex set
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support function of a set
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