Interpolated mapping system identification as a numerical algorithm

Faruk H. Bursal and Benson H. Tongue

Mathematics and Computers in Simulation (MATCOM), 1994, vol. 36, issue 3, 209-220

Abstract: A new method for nonlinear system identification, based on the technique of Interpolated Mapping, is formulated. The input to the procedure is a map, taking initial conditions on a regular grid to their images after a fixed time step. It is assumed that the underlying dynamics evolves in continuous time. The given map is then replaced by a cascade of maps with progressively smaller time steps. When the time step becomes sufficiently small, the vector field underlying the map is estimated by way of difference quotients.

Keywords: Dynamical systems; Mappings; Numerical derivative estimation; Least Squares; Equations of motion (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:36:y:1994:i:3:p:209-220

DOI: 10.1016/0378-4754(94)90006-X

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