On the regularity of optimal controls (Q2722585)
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scientific article; zbMATH DE number 1617864
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the regularity of optimal controls |
scientific article; zbMATH DE number 1617864 |
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13 January 2002
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regularity
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optimal control
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maximum principle
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Lipschitz continuity
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On the regularity of optimal controls (English)
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A class of optimal control problems is considered. It is proved that optimal controls are Lipschitz continuous when the maximum principle is satisfied with non-zero multiplier. This result extends previous results [cf. \textit{W. W. Hager}, ``Lipschitz continuity for constrained processes'', SIAM J. Control Optimization 17, 321-338 (1979; Zbl 0426.90083) and \textit{K.Malinowski}, ``On the regularity of solutions to optimal control problems for systems linear with respect to control variable'', Arch. Autom. Telemech. 23, 227-241 (1978)] by covering some problems with left and right endpoint constraints, with initial states lying in the boundary of the state constraint and with nondifferentiable (with respect to the phase variables) data.NEWLINENEWLINEFor the entire collection see [Zbl 0961.00036].
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