Gradient dynamical systems for principal singular subspace analysis

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 system...

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Bibliographic Details
Published in2008 American Control Conference pp. 4666 - 4671
Main Authors Hasan, M.A., Hasan, J.A.K.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2008
Subjects
Asymptotic stability
Control systems
Convergence
Cost function
Differential equations
global convergence
global stability
Halley method
invariant set
Lasalle invariance principle
Lyapunov method
Lyapunov stability
Newton method
polynomial dynamical systems
Polynomials
Signal processing algorithms
Stability analysis
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ISBN1424420784
9781424420780
ISSN0743-1619
DOI10.1109/ACC.2008.4587231

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Summary: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.
ISBN:1424420784
9781424420780
ISSN:0743-1619
DOI:10.1109/ACC.2008.4587231