Title :
Sanger’s type dynamical systems for canonical variate analysis
Author :
Hasan, Mohammed A. ; Hasan, Jawad A K
Author_Institution :
Dept. of Electr. Sz Comput. Eng., Minnesota Duluth Univ., Duluth, MN
Abstract :
In this paper, several dynamical systems for computing canonical correlations and canonical variates are proposed. These systems are shown to converge to the actual components rather than to a subspace spanned by these components. Using Liapunov stability theory, qualitative properties of the proposed systems are analyzed in detail including the limit of solutions as time approaches infinity.
Keywords :
Lyapunov methods; statistical analysis; Lyapunov stability theory; Sanger type dynamical system; canonical variate analysis; polynomial dynamical system; Asymptotic stability; Biomedical computing; Control systems; Data analysis; H infinity control; Lyapunov method; Matrix decomposition; Polynomials; Singular value decomposition; Stability analysis; Lasalle invariance principle; Lyapunov stability; asymptotic stability; canonical correlation analysis; global convergence; global stability; invariant set; polynomial dynamical systems;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4587133
