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 |
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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 |