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

Title data

Grüne, Lars ; Sigurani, Manuela:
A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems.
In: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen , 2014 . - pp. 1031-1037
ISBN 978-90-367-6321-9

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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 in another language

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:	Article in a book
Refereed:	Yes
Additional notes:	first version in 2013, revised version in 2014
Keywords:	Lyapunov function; networked system; stability; small gain theorem
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
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	27 Apr 2015 13:56
Last Modified:	27 Apr 2015 13:56
URI:	https://eref.uni-bayreuth.de/id/eprint/11271

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A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems. (deposited 18 Apr 2015 21:01)
- A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems. (deposited 27 Apr 2015 13:56) [Currently Displayed]