## Title data

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

**A Generalization of Zubov's Method to Perturbed Systems.**

*In:* SIAM Journal on Control and Optimization.
Vol. 40
(2001)
Issue 2
.
- pp. 496-515.

ISSN 1095-7138

DOI: https://doi.org/10.1137/S036301299936316X

## Related URLs

## Abstract in another language

A generalization of Zubov's theorem on representing the domain of attraction via the solution of a suitable partial differential equation is presented for the case of perturbed systems with a singular fixed point. For the construction it is necessary to consider solutions in the viscosity sense. As a consequence maximal robust Lyapunov functions can be characterized as viscosity solutions.

## Further data

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

Refereed: | Yes |

Keywords: | Asymptotic stability; Zubov's method; Robust stability; Domain of attraction; Viscosity solutions |

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: | No |

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

Date Deposited: | 23 Feb 2021 09:14 |

Last Modified: | 11 May 2021 11:27 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63324 |