at Google ScholarTitle data
Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Control Lyapunov Functions and Zubov's Method.
In: SIAM Journal on Control and Optimization.
Vol. 47
(2008)
Issue 1
.
- pp. 301-326.
ISSN 1095-7138
DOI: https://doi.org/10.1137/06065129X
Related URLs
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: | 09 Jan 2024 13:10 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/63673 |