@inproceedings{9747ca976de94130b23422ced4ec3f9e,
title = "LMI relaxations for non-quadratic discrete stabilization via p{\'o}lya theorem",
abstract = "In this paper, a relaxation technique based on homogeneous polynomially parameter-dependent (HPPD) solutions to parameter-dependent LMIs (PD-LMIs) is proposed. We investigate non-quadratic relaxed conditions characterized by parameter-dependent LMIs (PD-LMIs) in terms of parameter uncertainty belonging to the unit simplex, exploiting the algebraic property of P{\'o}lya's Theorem to construct a family of finite-dimensional LMI relaxations that releases conservatism. Lastly, a numerical experiment to illustrate the advantage of relaxation, being less conservative and reaching exactness, are provided.",
keywords = "Homogeneous polynomials, Linear matrix inequality (LMI), Parameter-dependent LMIs (PD-LMIs), Relaxation",
author = "Lo, {Ji Chang} and Tsai, {Chin Fu}",
year = "2009",
doi = "10.1109/CDC.2009.5399994",
language = "???core.languages.en_GB???",
isbn = "9781424438716",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "7430--7435",
booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009",
note = "48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",
}