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Homogeneous control Lyapunov functions for homogeneous control systems

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005470
URN to cite this document: urn:nbn:de:bvb:703-epub-5470-7

Title data

Grüne, Lars:
Homogeneous control Lyapunov functions for homogeneous control systems.
Bayreuth , 2000

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Abstract

We show that any asymptotically controllable homogeneous control system admits a homogeneous control Lyapunov function. As a consequence, we obtain that any such system admits a stabilizing discontinuous sampled feedback, where the sampling rate is bounded from below depending on the degree of the homogeneity. Furthermore, we show that asymptotic controllability of a homogeneous system implies local asymptotic controllability of an approximated system.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
el Jai, Abdelhaq (Hrsg.): Mathematical Theory of Networks and Systems. - Zielona Gora : Techn. Univ. Press , 2001
Keywords: homogeneous control systems; control Lyapunov functions; asymptotic controllability; feedback stabilization
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-5470-7
Date Deposited: 07 May 2021 07:53
Last Modified: 07 May 2021 07:53
URI: https://epub.uni-bayreuth.de/id/eprint/5470
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