Gradient dynamical systems for principal singular subspace analysis

被引：3

作者：

Hasan, Mohammed A. ^{[1
]}

Hasan, Jawad A. K. ^{[2
]}

机构：

[1] Univ Minnesota, Dept Elect & Comp Engn, Duluth, MN 55812 USA

[2] Univ Baghdad, Dept Elect Engn, Baghdad, Iraq

来源：

2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12 | 2008年

关键词：

polynomial dynamical systems; asymptotic stability; global stability; global convergence; invariant set; Lyapunov stability; Newton method; Halley method; Lasalle invariance principle;

D O I：

10.1109/ACC.2008.4587231

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：4666 / +

页数：2

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