A note on the synthesis of nonquadratic optimal control in a one-dimensional linear system (Q1972555)
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scientific article; zbMATH DE number 1429693
| Language | Label | Description | Also known as |
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| English | A note on the synthesis of nonquadratic optimal control in a one-dimensional linear system |
scientific article; zbMATH DE number 1429693 |
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A note on the synthesis of nonquadratic optimal control in a one-dimensional linear system (English)
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21 February 2001
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The synthesis problem of the optimal control is investigated in a one-dimensional linear system with a cost function which is Hölderian with respect to the control and convex with respect to the final state. Under some conditions it is proved that the closed-loop synthesis is given by a nonlinear state feedback defined in terms of the solution of a Bernoulli type operator equation. It is also shown that the feedback operator can be explicitly expressed by solutions of associated algebraic equations.
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synthesis problem
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optimal control
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closed-loop synthesis
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0.8912673
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0.88367915
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0.8822194
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0.8792871
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