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. IEEE , Piscataway, NJ, pp. 4218-4223. ISBN 0-7803-2685-7 http://resolver.caltech.edu/CaltechAUTHORS:GETcdc95c
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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|
|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 .|
|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|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Kristin Buxton|
|Deposited On:||10 Dec 2008 23:55|
|Last Modified:||26 Dec 2012 10:32|
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