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|Title:||Necessary and sufficient bit rate conditions to stabilize quantized Markov jump linear systems|
|Source:||Ling, Q.,Lin, H. (2010). Necessary and sufficient bit rate conditions to stabilize quantized Markov jump linear systems. Proceedings of the 2010 American Control Conference, ACC 2010 : 236-240. ScholarBank@NUS Repository.|
|Abstract:||This paper studies the mean square stability of a quantized Markov jump linear system (MJLS) that closes its feedback path closed over digital networks. It investigates the effects of the finite constant feedback bit rate on the MJLS'tability. A lower bound is placed on all constant bit rates which could stabilize the MJLS. It also provides a sufficient bit rate for the MJLS, which is shown to be enough to stabilize the system through constructing an appropriate quantization policy. So it is possible to stabilize a quantized MJLS at a finite bit rate. Moreover, it can determine a bit rate range, within which the minimum bit rate required for stability lies. An example is used to verify the achieved theoretical results. © 2010 AACC.|
|Source Title:||Proceedings of the 2010 American Control Conference, ACC 2010|
|Appears in Collections:||Staff Publications|
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