## Title data

Grüne, Lars ; Junge, Oliver:

**A set oriented approach to optimal feedback stabilization.**

*In:* Systems & Control Letters.
Vol. 54
(February 2005)
Issue 2
.
- pp. 169-180.

ISSN 1872-7956

DOI: https://doi.org/10.1016/j.sysconle.2004.08.005

## Abstract in another language

We present a numerical construction of an optimal control based feedback law for the stabilization of discrete time nonlinear control systems. The feedback is based on a recently developed numerical solution method for optimal control problems using set oriented and graph theoretic algorithms. We show how this method can be used to construct approximately optimal and stabilizing feedback laws and present an a posteriori error estimation technique for the adaptive generation of the underlying set oriented space discretization.

## Further data

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

Refereed: | Yes |

Keywords: | Feedback stabilization; Nonlinear control system; Optimal control; Set oriented numerics; Shortest path |

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: | 02 Mar 2021 10:06 |

Last Modified: | 23 Mar 2021 09:13 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63560 |