Randomized Asynchronous Recursions with a Sinusoidal Input

This study considers a randomized asynchronous form of the discrete time-invariant state-space models, in which only a random subset of the state variables is updated in each iteration. When the system has a single input in the form of a complex exponential, it is shown that the output signal still...

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Bibliographic Details
Main Authors: Teke, Oguzhan, Vaidyanathan, P. P.
Format: Conference Proceeding
Language:English
Subjects:
Asynchronous models
autonomous networks
graph filters
randomized iterations
state-space models
Online Access:Request full text
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Summary:This study considers a randomized asynchronous form of the discrete time-invariant state-space models, in which only a random subset of the state variables is updated in each iteration. When the system has a single input in the form of a complex exponential, it is shown that the output signal still behaves like an exponential in a statistical sense. The study presents the necessary and sufficient condition that ensures the stability of a randomized asynchronous system, which does not necessarily require the stability of the state transition matrix.
ISSN:2576-2303
DOI:10.1109/IEEECONF44664.2019.9048998