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

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 ex...

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Veröffentlicht in:Computational & applied mathematics Jg. 42; H. 5
Hauptverfasser: Aronna, M. Soledad, Bonnans, J. Frédéric, Goh, Bean San
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 01.07.2023
Elsevier
Schlagworte:
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Second order optimality conditions
49J30
Optimal control
Shooting algorithm
49M05
49M15
Singular arc
ISSN:2238-3603, 0377-0427, 1807-0302
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Zusammenfassung: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.
ISSN:2238-3603
0377-0427
1807-0302
DOI:10.1007/s40314-023-02346-2