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Homogeneous state feedback stabilization of homogeneous systems

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005465
URN to cite this document: urn:nbn:de:bvb:703-epub-5465-9

Title data

Grüne, Lars:
Homogeneous state feedback stabilization of homogeneous systems.
Bayreuth , 2000

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Abstract

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: Preprint, postprint
Additional notes (visible to public): erschienen In:
Proceedings of the 39th IEEE Conference on Decision and Control. Volume 4. - Piscataway, NJ : IEEE Publ. , 2000 . - S. 3409-3414
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Institutions of the University: 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
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)
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5465-9
Date Deposited: 07 May 2021 07:00
Last Modified: 07 May 2021 07:00
URI: https://epub.uni-bayreuth.de/id/eprint/5465

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