The dominant state plays an essential role in the asymptotic analysis of dynamical systems. As global states of a 2D system are bilateral sequences, the existence of a dominant state implies that the free evolution of 2D global states converges to a suitable sequence, up to the multiplication by a normalizing factor. In this contribution the existence of a dominant state is analysed under the assumption that the initial global state is the Fourier Stieltjes transform of a bounded variation function.

The dominant global state in the asymptotic analysis of 2D systems

FORNASINI, ETTORE;ZAMPIERI, SANDRO
2001

Abstract

The dominant state plays an essential role in the asymptotic analysis of dynamical systems. As global states of a 2D system are bilateral sequences, the existence of a dominant state implies that the free evolution of 2D global states converges to a suitable sequence, up to the multiplication by a normalizing factor. In this contribution the existence of a dominant state is analysed under the assumption that the initial global state is the Fourier Stieltjes transform of a bounded variation function.
2001
Proc. of the Int. Conference: Advances in Communications and Control
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2471779
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