Getz, Neil H. and Marsden, Jerrold E. (1995) Dynamic inversion and polar decomposition of matrices. In: IEEE Conference on Decision and Control, 34th (CDC 1995). New Orleans, LA, 13-15 December 1995. IEEE , Piscataway, NJ, pp. 142-147. ISBN 0-7803-2685-7 http://resolver.caltech.edu/CaltechAUTHORS:GETicdc95a
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Using the recently introduced concept of a "dynamic inverse" of a map, along with its associated analog computational paradigm. we construct continuous-time nonlinear dynamical systems which produce both regular and generalized inverses of time-varying and fixed matrices, as well as polar decompositions.
|Item Type:||Book Section|
|Additional Information:||© Copyright 1995 IEEE. Reprinted with permission. Meeting Date: 12/13/1995 - 12/15/1995. The authors are grateful to C.A. Desoer for his comments and advice.|
|Subject 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|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Kristin Buxton|
|Deposited On:||15 Dec 2008 21:16|
|Last Modified:||26 Dec 2012 10:36|
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