On the equivalence between asymptotic and exponential stability, and between ISS and finite H-infinity gain

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005457
URN to cite this document: urn:nbn:de:bvb:703-epub-5457-4

Title data

Grüne, Lars ; Sontag, Eduardo D. ; Wirth, Fabian:
On the equivalence between asymptotic and exponential stability, and between ISS and finite H-infinity gain.
Bayreuth , 1999

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Abstract

We show that uniformly global asymptotic stability and input-to-state stability for a family of ordinary differential equations are equivalent to uniformly global exponential stability and a nonlinear H-infinity estimate, respectively, under suitable nonlinear changes of variables.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erschienen In: Proceedings of the 38th IEEE Conference on Decision and Control. Volume 2. - Piscataway, NJ : IEEE Publ. , 1999 . - S. 1220-1225
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-5457-4
Date Deposited:	06 May 2021 11:50
Last Modified:	09 Oct 2023 11:35
URI:	https://epub.uni-bayreuth.de/id/eprint/5457

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