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. https://resolver.caltech.edu/CaltechAUTHORS:GETicdc95a
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Abstract
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 | |||||||||
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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 | |||||||||
| DOI: | 10.1109/CDC.1995.478664 | |||||||||
| Record Number: | CaltechAUTHORS:GETicdc95a | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:GETicdc95a | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 12613 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 15 Dec 2008 21:16 | |||||||||
| Last Modified: | 08 Nov 2021 22:31 |
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