@inproceedings{c857e2fd0ed0419ebc698850b33d5dee,
title = "SOS-based fuzzy stability analysis via homogeneous Lyapunov functions",
abstract = "The class of polynomial fuzzy-model-based (PFMB) control systems has gained considerable attention in fuzzy control. The PFMB control system under consideration often assumes that the Lyapunov functions are quadratic, allowing use of semidefinite programming and the sum of squares (SOS) decomposition. This paper introduces a homogeneously polynomial Lyapunov function for a stabilization problem in which the state feedback synthesis based on SOS decomposition is proposed. To verify the analytical theories regarding PFMB stabilization with the proposed method, two examples are demonstrated to show the effectiveness of the proposed approach.",
keywords = "Homogeneous Lyapunov function, Polynomial TS Fuzzy Models, Sum Of Squares (SOS)",
author = "Lo, {Ji Chang} and Lin, {Yu Tse} and Chang, {Wei Sheng} and Lin, {Fong Yi}",
note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014 ; Conference date: 06-07-2014 Through 11-07-2014",
year = "2014",
month = sep,
day = "4",
doi = "10.1109/FUZZ-IEEE.2014.6891652",
language = "???core.languages.en_GB???",
series = "IEEE International Conference on Fuzzy Systems",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2300--2305",
booktitle = "Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE",
}