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Homogeneous state feedback stabilization of homogeneous systems

Title data

Grüne, Lars:
Homogeneous state feedback stabilization of homogeneous systems.
In: Proceedings of the 39th IEEE Conference on Decision and Control. Volume 4. - Piscataway, NJ : IEEE Publ. , 2000 . - pp. 3409-3414
ISBN 0-7803-6638-7
DOI: https://doi.org/10.1109/CDC.2000.912230

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Abstract in another language

We show that for any asymptotically controllable homogeneous system in euclidian space (not necessarily Lipschitz at the origin) there exists a homogeneous control Lyapunov function and a homogeneous, possibly discontinuous state feedback law stabilizing the corresponding sampled closed loop system. We also show the relation between the degree of homogeneity and the bounds on the sampling rates which ensure asymptotic stability.

Further data

Item Type: Article in a book
Refereed: Yes
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: 22 Feb 2021 08:47
Last Modified: 07 May 2021 07:00
URI: https://eref.uni-bayreuth.de/id/eprint/63264