## Title data

Grüne, Lars ; Junge, Oliver:

**Global Optimal Control of Perturbed Systems.**

*In:* Journal of Optimization Theory and Applications.
Vol. 136
(2008)
Issue 3
.
- pp. 411-429.

ISSN 0022-3239

DOI: https://doi.org/10.1007/s10957-007-9312-z

## Related URLs

## Abstract in another language

We propose a new numerical method for the computation of the optimal value function of perturbed control systems and associated globally stabilizing optimal feedback controllers. The method is based on a set oriented discretization of state space in combination with a new algorithm for the computation of shortest paths in weighted directed hypergraphs. Using the concept of a multivalued game, we prove convergence of the scheme as the discretization parameter goes to zero.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | Optimal control; Dynamic games; Set-oriented numerics; Graph Theory |

Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science 500 Science > 510 Mathematics |

Date Deposited: | 04 Mar 2021 10:29 |

Last Modified: | 12 Jul 2022 07:47 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63674 |