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Published December 1995 | Published
Book Section - Chapter Open

A dynamic inverse for nonlinear maps

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.

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].

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