Getz, Neil H. and Marsden, Jerrold E. (1995) A dynamic inverse for nonlinear maps. In: IEEE Conference on Decision and Control, 34th (CDC '95), New Orleans, LA, 13-15 December 1995. Vol.4. IEEE , Piscataway, NJ, pp. 4218-4223. ISBN 0-7803-2685-7. https://resolver.caltech.edu/CaltechAUTHORS:GETcdc95c
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Abstract
We consider the problem of estimating the time-varying root of a time-dependent nonlinear map. We introduce a "dynamic inverse" of a map, another generally time-dependent map which one composes with the original map to form a nonlinear vector-field. The flow of this vector field decays exponentially to the root. We then show how a dynamic inverse may be determined dynamically while being used simultaneously to find a root. We construct a continuous-time analog computational paradigm around the dynamic inverse.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © Copyright 1995 IEEE. Reprinted with permission. Publication Date: 13-15 Dec. 1995. The authors are grateful to C.A. Desoer for his comments and advice. This paper is a condensed version of [1]. | |||||||||
| Subject Keywords: | continuous time systems; matrix inversion; nonlinear dynamical systems; state estimation; dynamic inverse; dynamical systems; nonlinear vector-field; state estimation; time varying matrix; time-dependent nonlinear map; time-varying root | |||||||||
| DOI: | 10.1109/CDC.1995.480780 | |||||||||
| Record Number: | CaltechAUTHORS:GETcdc95c | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:GETcdc95c | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 12474 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 10 Dec 2008 23:55 | |||||||||
| Last Modified: | 08 Nov 2021 22:28 |
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