Analytic form of optimal boundary controls of transverse vibrations of a rod consisting of several parts with different densities and elasticities but with the same impedances (Q641998)
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scientific article; zbMATH DE number 5963570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic form of optimal boundary controls of transverse vibrations of a rod consisting of several parts with different densities and elasticities but with the same impedances |
scientific article; zbMATH DE number 5963570 |
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Analytic form of optimal boundary controls of transverse vibrations of a rod consisting of several parts with different densities and elasticities but with the same impedances (English)
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25 October 2011
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This paper considers the problem of optimal boundary displacement control (control minimizing the boundary energy functional) of an elastic rod consisting of several parts with different densities and elasticities but with the same impedances. A closed-form expression is obtained for the optimal control bringing the rod from an arbitrarily given initial state to an arbitrarily given terminal state in a given time \(T\).
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elastic rod
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optimal boundary displacement control
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boundary energy functional
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transverse vibration
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0.9170324
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0.9095423
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0.8879496
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0.8810673
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0.8786448
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0.86981934
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