Gradient dynamical systems for principal singular subspace analysis

Mohammed A Hasan, Jawad A.K. Hasan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

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.

Original languageEnglish (US)
Title of host publication2008 American Control Conference, ACC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4666-4671
Number of pages6
ISBN (Print)9781424420797
DOIs
StatePublished - Jan 1 2008
Event2008 American Control Conference, ACC - Seattle, WA, United States
Duration: Jun 11 2008Jun 13 2008

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2008 American Control Conference, ACC
CountryUnited States
CitySeattle, WA
Period6/11/086/13/08

Keywords

  • Asymptotic stability
  • Global convergence
  • Global stability
  • Halley method
  • Invariant set
  • Lasalle invariance principle
  • Lyapunov stability
  • Newton method
  • Polynomial dynamical systems

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