@inproceedings{dde27d3a544d4b76a9f38806769f21d6,
title = "Analysis of discrete-time nonlinear ℓ2-gain bounds via dynamic programming",
abstract = "In the input-output framework, the notion of nonlinear ℓ2-gain extends the classical (linear) finite ℓ2-gain in order to apply ℓ2-gain analysis techniques to a larger class of nonlinear systems. Obtaining tight estimates of the comparison function bounds for the nonlinear ℓ2-gain property is particularly important in small gain design. In this paper, we present two optimisation-based formulations that characterise these bounds for discrete-time nonlinear systems satisfying the nonlinear ℓ2-gain property via dynamic programming.",
author = "Tran, \{Duc N.\} and Kellett, \{Christopher M.\} and Dower, \{Peter M.\}",
note = "Publisher Copyright: {\textcopyright} 2016 Engineers Australia.; 2016 Australian Control Conference, AuCC 2016 ; Conference date: 03-11-2016 Through 04-11-2016",
year = "2017",
month = mar,
day = "1",
doi = "10.1109/AUCC.2016.7868004",
language = "English",
series = "2016 Australian Control Conference, AuCC 2016",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "66--70",
booktitle = "2016 Australian Control Conference, AuCC 2016",
address = "United States",
}