@inproceedings{da922c7f22c94255a87ea834eac0357c,
title = "Approximation and limiting behavior of random models",
abstract = "In this paper, we investigate limiting behavior of linear dynamic systems driven by random stochastic matrices. We introduce and study the new concepts of partial ergodicity and ℓ1-approximation of a given chain of stochastic matrices. We show that partial ergodicity of a chain is invariant under ℓ1-approximations. We also introduce an infinite flow graph of a random chain and use the connectivity components of this graph to characterize the ergodicity classes of a chain. Finally, we provide a result showing that, under certain conditions, the ergodicity classes of an independent random chain and its expected counterpart are the same.",
author = "Behrouz Touri and Angelia Nedi{\'c}",
year = "2010",
doi = "10.1109/CDC.2010.5717948",
language = "English (US)",
isbn = "9781424477456",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2656--2663",
booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",
address = "United States",
note = "49th IEEE Conference on Decision and Control, CDC 2010 ; Conference date: 15-12-2010 Through 17-12-2010",
}