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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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Gruene_Sigurani_lyap_based_nonlin_small-gain_theorem_discont_discr_large_sys_2014.pdf - Accepted Version
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Project information

Project title:
Project's official titleProject'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", GrantGR1569/11-2

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): 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: 28 Mar 2019 11:56
URI: https://epub.uni-bayreuth.de/id/eprint/1974

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