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Homogeneous control Lyapunov functions for homogeneous control systems

Title data

Grüne, Lars:
Homogeneous control Lyapunov functions for homogeneous control systems.
In: el Jai, Abdelhaq (ed.): Mathematical Theory of Networks and Systems. - Zielona Gora : Techn. Univ. Press , 2001

Official URL: Volltext

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Abstract in another language

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: Article in a book
Refereed: Yes
Additional notes: (= International Journal of Applied Mathematics and Computer Science ; 11,1)
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
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
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT: No
DDC Subjects: 500 Science
500 Science > 500 Natural sciences
Date Deposited: 22 Feb 2021 08:43
Last Modified: 07 May 2021 07:54
URI: https://eref.uni-bayreuth.de/id/eprint/63263