@inproceedings{f81d6564081a4cf38125ab99d687a71e,
title = "Existence of parameter-dependent Lyapunov functions assuring robust stability via SOS",
abstract = "An SOS relaxation technique seeking homogeneous polynomially parameter dependent (HPPD) Lyapunov function to non-quadratic stability is proposed. We investigate non-quadratic relaxed conditions characterized by sum of squares, exploiting the algebraic property of P{\'o}lya Theorem to construct a family of finite-dimensional SOS relaxations that releases conservatism without adding any slack matrices. Lastly, numerical experiments to illustrate the advantage of the relaxation, being simple and effective, are provided.",
keywords = "Homogeneous polynomials, Linear matrix inequality, Non-common P, Parameter-dependent LMIs (PD-LMIs), Relaxation",
author = "Lo, {Ji Chang} and Tsai, {Chin Fu}",
year = "2011",
language = "???core.languages.en_GB???",
isbn = "9788995605646",
series = "ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings",
pages = "1492--1497",
booktitle = "ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings",
note = "8th Asian Control Conference, ASCC 2011 ; Conference date: 15-05-2011 Through 18-05-2011",
}