Submitted:
22 August 2022
Posted:
23 August 2022
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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
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