Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

ISS-Lyapunov functions for discontinuous discrete-time systems

URN to cite this document: urn:nbn:de:bvb:703-epub-2002-4

Title data

Grüne, Lars ; Kellett, Christopher M.:
ISS-Lyapunov functions for discontinuous discrete-time systems.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 19 S.

[img] PDF
Gruene_Kellett_iss-lyap_fct_discont_discr-time_sys_2014.pdf - Accepted Version
Available under License Deutsches Urheberrechtsgesetz .

Download (182kB)

Abstract

Input-to-State Stability (ISS) and the ISS-Lyapunov function are useful tools for the analysis and design of nonlinear systems. Motivated by the fact that many feedback control laws, such as model predictive control or event-based control, lead to discontinuous discrete-time dynamics, we investigate ISS-Lyapunov functions for such systems. ISS-Lyapunov functions were originally introduced in a so-called implication form and, in many cases, this has been shown to be equivalent to an ISS-Lyapunov function of dissipative form. However, for discontinuous dynamics, we demonstrate via an example that this equivalence no longer holds. We therefore propose a stronger implication form ISS-Lyapunov function and provide a complete characterization of ISS-Lyapunov functions for discrete-time systems with discontinuous dynamics.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): A preliminary version was published at the homepage of the first author in July 2013.
Keywords: input-to-state stability (ISS); Lyapunov methods; discrete-time systems
DDC Subjects: 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
Profile Fields > Advanced Fields > Nonlinear Dynamics
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)
Profile Fields
Profile Fields > Advanced Fields
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-2002-4
Date Deposited: 17 Apr 2015 07:21
Last Modified: 28 Mar 2019 15:27
URI: https://epub.uni-bayreuth.de/id/eprint/2002

Downloads

Downloads per month over past year