Brief Report
Version 1
Preserved in Portico This version is not peer-reviewed
Almost Global Pullback Attraction In Non-Autonomous Systems
Version 1
: Received: 22 August 2022 / Approved: 23 August 2022 / Online: 23 August 2022 (11:21:11 CEST)
How to cite: Karabacak, Ö. Almost Global Pullback Attraction In Non-Autonomous Systems. Preprints 2022, 2022080399. https://doi.org/10.20944/preprints202208.0399.v1 Karabacak, Ö. Almost Global Pullback Attraction In Non-Autonomous Systems. Preprints 2022, 2022080399. https://doi.org/10.20944/preprints202208.0399.v1
Abstract
This short report contains a result that characterizes almost global pullback attractor of discrete-time non-autonomous systems. Analogously to the multiple Lyapunov functions approach for switched systems, we show here that existence of multiple Lyapunov densities implies pullback convergence of almost all initial states to the origin for a discrete-time non-autonomous system.
Keywords
pullback attractors; nonautonomous systems; almost global stability
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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