Optimal control of distributed bilinear systems (Q580282)
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scientific article; zbMATH DE number 4016709
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal control of distributed bilinear systems |
scientific article; zbMATH DE number 4016709 |
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Optimal control of distributed bilinear systems (English)
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1987
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The author considers the problem of the existence of an optimal control law for a bilinear system on a Hilbert space with a quadratic cost functional. He obtains a solution for the optimal control as a convergent series in the state with tensor coefficients, but in contrast to the case of linear control action, this solution only exists for states satisfying a certain bound depending on the horizon time.
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existence of an optimal control law
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bilinear system
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Hilbert space
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quadratic cost functional
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