@inproceedings{7e0749fed73945899241fb04ee26ed97,
title = "Finite-time Attractive Ellipsoid Method using Implicit Lyapunov Functions",
abstract = "A finite-time version, based on Implicit Lyapunov Functions (ILF), for the Attractive Ellipsoid Method (AEM) is developed. Based on this, a robust control scheme is presented to ensure finite-time convergence of the solutions of a chain of integrators with bounded output perturbations to a minimal ellipsoidal set. The control parameters are obtained by solving a minimization problem of the size of the ellipsoid subject to a set of Linear Matrix Inequalities (LMI's) constraints, and by applying the implicit function theorem. A numerical example is presented to support the implementability of these theoretical results.",
keywords = "Convergence, Ellipsoids, Estimation, Linear matrix inequalities, Lyapunov methods, Minimization, Yttrium",
author = "Manuel Mera and Andrey Polyakov and Wilfrid Perruquetti and Gang Zheng",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 54th IEEE Conference on Decision and Control, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",
year = "2015",
month = feb,
day = "8",
doi = "10.1109/CDC.2015.7403305",
language = "Ingl{\'e}s",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "6892--6896",
booktitle = "54rd IEEE Conference on Decision and Control,CDC 2015",
address = "Estados Unidos",
}