Optimal control with a functional averaged along the trajectory (Q1819722)
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scientific article; zbMATH DE number 3994393
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal control with a functional averaged along the trajectory |
scientific article; zbMATH DE number 3994393 |
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Optimal control with a functional averaged along the trajectory (English)
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1985
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Consider a control problem in which the differential equation relating the state and control functions, as well as the integrand in the performance criterion, are not explicitely time-dependent. A set of infinite optimal trajectories (IOT) is defined. It is shown that in an arbitrary fixed-time interval any optimal trajectory can be uniformly approximated to some IOT with a desired accuracy, provided that the control time is fairly large.
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averaged functional
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infinite optimal trajectories
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