Title :
Dynamic inversion and polar decomposition of matrices
Author :
Getz, Neil H. ; Marsden, Jerrold E.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
Abstract :
Using the concept of a “dynamic inverse” of a map, along with its associated analog computational paradigm, the authors construct continuous-time nonlinear dynamical systems which produce both regular and generalized inverses of time-varying and fixed matrices, as well as polar decompositions
Keywords :
continuous time systems; matrix decomposition; matrix inversion; nonlinear dynamical systems; continuous-time nonlinear dynamical systems; dynamic inversion; fixed matrices; generalized inverses; matrices; polar decomposition; regular inverses; time-varying matrices; Artificial intelligence; Control systems; Gradient methods; Inverters; MMICs; Matrix decomposition; Neural networks; Nonlinear equations; Recruitment; Symmetric matrices;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478664
