@inproceedings{c425bc8bf9cd49088f037caa4b579619,
title = "Exact solutions to fuzzy PD-LMIs via SOS",
abstract = "Based on recent results on Sum of Squares (SOS) to polynomial theory, we address exact relaxation to quadratic stability arisen from stability analysis and controller synthesis in the fuzzy control systems represented by TS models. In this paper we show how to characterize the exact solution to the quadratic stability and by approximating the cone of copositive matrices via SOS that is solvable by SOSTOOLS. Certificate of convergence of such copositive relaxation is provided. Examples from current results are provided to illustrate our approach. It is shown that SOS relaxations can characterize exactness of the decision problems.",
keywords = "Exact solutions, Linear matrix inequality (LMI), Sum of Squares (SOS), TS fuzzy models",
author = "Lo, {Ji Chang} and Liu, {Ming Zhe}",
year = "2010",
doi = "10.1109/FUZZY.2010.5584563",
language = "???core.languages.en_GB???",
isbn = "9781424469208",
series = "2010 IEEE World Congress on Computational Intelligence, WCCI 2010",
booktitle = "2010 IEEE World Congress on Computational Intelligence, WCCI 2010",
note = "2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 ; Conference date: 18-07-2010 Through 23-07-2010",
}