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Quantitative aspects of the input-to-state stability property

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005496
URN to cite this document: urn:nbn:de:bvb:703-epub-5496-6

Title data

Grüne, Lars:
Quantitative aspects of the input-to-state stability property.
Bayreuth , 2002

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Abstract

In this paper we consider quantitative aspects of the input--to--state stability (ISS) property. Our considerations lead to a new variant of ISS, called input--to--state dynamical stability (ISDS), which is based on using a one--dimensional dynamical system for building the class KL function for the decay estimate and for describing the influence of the perturbation. The main feature of ISDS is that it admits a quantitative or gain preserving Lyapunov function characterization. We also show the relation to the original ISS formulation and present several applications.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): Erscheint in: Gilliam, David S. ; Rosenthal, Joachim , University of Notre Dame, South Bend, Indiana (Hrsg.): Proceedings of the Fifteenth International Symposium on Mathematical Theory of Networks and Systems, MTNS 2002 : University of Notre Dame, South Bend, Indiana, USA, August 12 - 16, 2002. - South Bend, Indiana , 2002 . - Article TUA4-4
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-5496-6
Date Deposited: 12 May 2021 06:28
Last Modified: 21 Jun 2021 09:08
URI: https://epub.uni-bayreuth.de/id/eprint/5496