Published November 2019
| public
Book Section - Chapter
Randomized Asynchronous Recursions with a Sinusoidal Input
- Creators
- Teke, Oguzhan
- Vaidyanathan, P. P.
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.
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.Additional details
- Eprint ID
- 102303
- DOI
- 10.1109/ieeeconf44664.2019.9048998
- Resolver ID
- CaltechAUTHORS:20200402-145101457
- N00014-18-1-2390
- Office of Naval Research (ONR)
- CCF-1712633
- NSF
- Carver Mead Seed Fund
- Created
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2020-04-02Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field