Approximation of the optimal-time problem for controlled differential inclusions (Q1905162)
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scientific article; zbMATH DE number 830621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of the optimal-time problem for controlled differential inclusions |
scientific article; zbMATH DE number 830621 |
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Approximation of the optimal-time problem for controlled differential inclusions (English)
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8 January 1996
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The aim of the paper consists in providing a numerical scheme to approximate the minimum time such that the reachable set of a linear differential inclusion is contained in some tube. The key of the approach is to use discrete inclusions -- of Euler's type -- and to prove convergence results. The Euler's discretization of the differential inclusion allows to prove the convergence of the scheme because of the specific linear dependence of the dynamic.
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optimal control
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numerical scheme
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reachable set
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differential inclusion
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discrete inclusions
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Euler's discretization
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0.8003188967704773
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