English

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

Optimization and Control 2023-06-21 v2

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.

Keywords

Cite

@article{arxiv.2210.08049,
  title  = {Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint},
  author = {M. S. Aronna and F. Bonnans and B. S. Goh},
  journal= {arXiv preprint arXiv:2210.08049},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1411.1719

R2 v1 2026-06-28T03:41:03.145Z