@inproceedings{af57f09f264e41148663cd050ad3d2e7,
title = "Gradient dynamical systems for principal singular subspace analysis",
abstract = "Principal singular component analysis has recently been proposed and analyzed by the author. It is a generalization of the principal singular subspace analysis which has been investigated in the literature. In this paper an unconstrained weighted cost function is utilized to develop dynamical systems that converge to the actual principal singular vectors of a given matrix. Stability analysis that reveals the domains of attraction of these systems is also given.",
keywords = "Asymptotic stability, Global convergence, Global stability, Halley method, Invariant set, Lasalle invariance principle, Lyapunov stability, Newton method, Polynomial dynamical systems",
author = "Hasan, {Mohammed A.} and Hasan, {Jawad A.K.}",
year = "2008",
doi = "10.1109/ACC.2008.4587231",
language = "English (US)",
isbn = "9781424420797",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4666--4671",
booktitle = "2008 American Control Conference, ACC",
note = "2008 American Control Conference, ACC ; Conference date: 11-06-2008 Through 13-06-2008",
}