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Dynamic inversion and polar decomposition of matrices

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. Vol.1. IEEE , Piscataway, NJ, pp. 142-147. ISBN 0-7803-2685-7.

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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.

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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
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ID Code:12613
Deposited On:15 Dec 2008 21:16
Last Modified:08 Nov 2021 22:31

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