Teke, Oguzhan and Vaidyanathan, P. P. (2019) Randomized Asynchronous Recursions with a Sinusoidal Input. In: 2019 53rd Asilomar Conference on Signals, Systems, and Computers. IEEE , Piscataway, NJ, pp. 1491-1495. ISBN 9781728143002. https://resolver.caltech.edu/CaltechAUTHORS:20200402-145101457
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Abstract
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.
| Item Type: | Book Section | ||||||||
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| Additional Information: | © 2019 IEEE. This work was supported in parts by the ONR grant N00014-18-1-2390, the NSF grant CCF-1712633, and the Electrical Engineering Carver Mead Research Seed Fund of the California Institute of Technology. | ||||||||
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| Subject Keywords: | Asynchronous models, randomized iterations, state-space models, autonomous networks, graph filters | ||||||||
| DOI: | 10.1109/ieeeconf44664.2019.9048998 | ||||||||
| Record Number: | CaltechAUTHORS:20200402-145101457 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200402-145101457 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 102303 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | Tony Diaz | ||||||||
| Deposited On: | 02 Apr 2020 21:56 | ||||||||
| Last Modified: | 16 Nov 2021 18:10 |
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