@inproceedings{7dcb6e2a572846259b3b5b5f8be9d055,
title = "Adaptive control for a discrete-time first-order nonlinear system with both parametric and non-parametric uncertainties",
abstract = "A simple first-order discrete-time nonlinear system, which has both parametric uncertainty and nonparametric uncertainty, is studied in this paper. The uncertainty of non-parametric part is characterized by a Lipschitz constant L, and the nonlinearity of parametric part is characterized by an exponent index b. An adaptive controller is constructed for this model in both cases of b = 1 and b > 1, and its closed-loop stability is established under some conditions. When 6 = 1, the conditions given reveal the magic number 3/2 + √2 which appeared in previous study on capability and limitations of the feedback mechanism.",
keywords = "Adaptive control, Capability and limitation, Feedback mechanism, Non-parametric uncertainty, Parametric uncertainty",
author = "Hongbin Ma and Lum, \{Kai Yew\} and Ge, \{Shuzhi Sam\}",
year = "2007",
doi = "10.1109/CDC.2007.4434201",
language = "English",
isbn = "1424414989",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4839--4844",
booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",
address = "United States",
note = "46th IEEE Conference on Decision and Control, CDC 2007 ; Conference date: 12-12-2007 Through 14-12-2007",
}