@inproceedings{4cdf680919c74056a6c6a59bf453a9fa,
title = "Markov chains, entropy, and fundamental limitations in nonlinear stabilization",
abstract = "This paper is concerned with entropy based fundamental limitation results for the nonlinear stabilization of a scalar dynamical system. Using methods based on Ergodic theory, we pose the problem as control of Markov chains. It is shown that uncertainty, associated here with the unstable eigenvalue of the linearization, leads to fundamental limitations. These limitations arise as certain in-feasibility conditions for nonlinear stabilization in the presence of quantization or equivalently as positive conditional entropy of the output signal in the feedback loop. The former leads to a nonlinear stabilization result and latter to a fundamental limitation result.",
author = "Mehta, {Prashant G.} and Umesh Vaidya and Andrzej Banaszuk",
year = "2006",
doi = "10.1109/cdc.2006.377559",
language = "English (US)",
isbn = "1424401712",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "5222--5227",
booktitle = "Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC",
address = "United States",
note = "45th IEEE Conference on Decision and Control 2006, CDC ; Conference date: 13-12-2006 Through 15-12-2006",
}