A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems

URN to cite this document: urn:nbn:de:bvb:703-epub-1974-1

Title data

Grüne, Lars ; Sigurani, Manuela:
A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems.
Department of Mathematics, University of Bayreuth
Bayreuth , 2013 . - 7 S.

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Project information

Project title:	Project's official title Project's id Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735-SADCO DFG Priority Program 1305 "Control theory for digitally networked dynamical systems", Grant GR1569/11-2
Project financing:	7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Deutsche Forschungsgemeinschaft

Abstract

We present a nonlinear Lyapunov function based small-gain theorem for analyzing input-to-state stability of discrete-time large-scale systems. Motivated by the fact that many feedback control laws lead to discontinuous closed loop systems, we pose no continuity assumptions on the system dynamics. For characterizing input-to-state stability in this discontinuous setting, we utilize a recently introduced strong implication-form ISS-Lyapunov function.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erscheint in: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen , 2014 . - S. 1031-1037 ISBN 978-90-367-6321-9 first version in 2013, revised version in 2014
Keywords:	Lyapunov function; networked system; stability; small gain theorem
DDC Subjects:	500 Science > 510 Mathematics
Institutions of the University:	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) 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 Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-1974-1
Date Deposited:	17 Apr 2015 06:32
Last Modified:	02 Jun 2021 09:57
URI:	https://epub.uni-bayreuth.de/id/eprint/1974

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