Title :
A dynamic inverse for nonlinear maps
Author :
Getz, Neil H. ; Marsden, Jerrold E.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
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 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
Keywords :
continuous time systems; matrix inversion; nonlinear dynamical systems; state estimation; continuous time systems; dynamic inverse; dynamical systems; nonlinear vector-field; state estimation; time varying matrix; time-dependent nonlinear map; time-varying root; Analog computers; Computer networks; Control systems; Eigenvalues and eigenfunctions; Matrix decomposition; Neural networks; Nonlinear dynamical systems; Singular value decomposition; Sorting; Whales;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.480780
