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arXiv · 2210.08049

Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint

M. S. Aronna·F. Bonnans·B. S. Goh
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Abstract

We deal with a control-affine problem with scalar control subject to bounds, a scalar state constraint and endpoint constraints of equality type. For the numerical solution of this problem, we propose a shooting algorithm and provide a sufficient condition for its local convergence. We exhibit an example that illustrates the theory.

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M. S. Aronna, F. Bonnans, B. S. Goh. 2022-10-14. Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint. https://doi.org/10.1007/s40314-023-02346-2

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