@inproceedings{94ed1b30d9384603bcc41d07c20519f5,
title = "Lyapunov functions for generalized discrete-time multivariable Popov criterion",
abstract = "This paper shows the existence of Lur'e-Postkinov Lyapunov functions for the generalized multivariable discrete-time Popov criterion. The nonlinearities in the Lur'e system considered here are monotonic, sector- and slope-restricted. We discuss the cases where the nonlinearities are diagonal and non-diagonal. Our derivation is based on the discrete-time Kalman-Yakubovich-Popov (KYP) lemma and the S-Procedure, and results in Linear Matrix Inequality (LMI) conditions which can be solved using convex optimization methods. {\textcopyright} 2011 IFAC.",
keywords = "Lyapunov methods; Constrained control; LMIs",
author = "Ahmad, {N. Syazreen} and Heath, {W. P.} and G. Li",
year = "2011",
month = jan,
day = "1",
doi = "10.3182/20110828-6-IT-1002.00402",
language = "English",
isbn = "9783902661937",
volume = "44",
series = "The International Federation of Automatic Control Milano (Italy) August 28 - September 2, 2011",
publisher = "International Federation of Automatic Control (IFAC)",
pages = "3392--3397",
booktitle = "IFAC Proceedings Volumes (IFAC-PapersOnline)|IFAC Proc. Vol. (IFAC-PapersOnline)",
address = "Austria",
edition = "1",
note = "18th IFAC World Congress ; Conference date: 28-08-2011 Through 02-09-2011",
}