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Communication Dans Un Congrès Année : 2019

Sufficient conditions for time optimality of systems with control on the disk

Jean-Baptiste Caillau
Michaël Orieux
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Résumé

The case of time minimization for affine control systems with control on the disk is studied. After recalling the standard sufficient conditions for local optimality in the smooth case, the analysis focusses on the specific type of singularities encountered when the control is prescribed to the disk. Using a suitable stratification, the regularity of the flow is analyzed, which helps to devise verifiable sufficient conditions in terms of left and right limits of Jacobi fields at a switching point. Under the appropriate assumptions, piecewise regularity of the field of extremals is obtained.
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Dates et versions

hal-02358204 , version 1 (11-11-2019)

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  • HAL Id : hal-02358204 , version 1

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Jean-Baptiste Caillau, Michaël Orieux. Sufficient conditions for time optimality of systems with control on the disk. 58th Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02358204⟩
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