## Title data

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:

**Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Theory.**

*In:* IFAC Proceedings Volumes.
Vol. 37
(2004)
Issue 13
.
- pp. 709-714.

ISSN 1474-6670

DOI: https://doi.org/10.1016/S1474-6670(17)31308-3

## Related URLs

## Abstract in another language

In this paper we study the domain of asymptotic nullcontrollability of control systems. It is shown that this domain may be characterized by optimal control problems whose value function is the unique viscosity solution of a suitable first-order PDE. This value function turns out to be a control Lyapunov function. The approach generalizes Zubov's method.

## Further data

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

Refereed: | Yes |

Additional notes: | Special Issue: 6h IFAC Symposium on Nonlinear Control Systems 2004 (NOLCOS 2004), Stuttgart, Germany, 1-3 September, 2004 |

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 08:25 |

Last Modified: | 14 May 2021 09:57 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63493 |