## Title data

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

**Control Lyapunov Functions and Zubov's Method.**

*In:* SIAM Journal on Control and Optimization.
Vol. 47
(January 2008)
Issue 1
.
- pp. 301-326.

ISSN 1095-7138

DOI: https://doi.org/10.1137/06065129X

## Abstract in another language

For finite dimensional nonlinear control systems we study the relation between asymptotic null-controllability and control Lyapunov functions. It is shown that control Lyapunov functions may be constructed on the domain of asymptotic null-controllability as viscosity solutions of a first order PDE that generalizes Zubov's equation. The solution is also given as the value function of an optimal control problem from which several regularity results may be obtained.

## Further data

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

Refereed: | Yes |

Keywords: | Asymptotic null-controllability; Control Lyapunov functions; Hamilton-Jacobi-Bellman equation; Viscosity solutions; Zubov's method |

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 10:27 |

Last Modified: | 23 Mar 2021 09:12 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63673 |