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Interpolated mapping system identification as a numerical algorithm

Author

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  • Bursal, Faruk H.
  • Tongue, Benson H.

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.

Suggested Citation

  • Bursal, Faruk H. & Tongue, Benson H., 1994. "Interpolated mapping system identification as a numerical algorithm," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 36(3), pages 209-220.
    • Handle: RePEc:eee:matcom:v:36:y:1994:i:3:p:209-220
    DOI: 10.1016/0378-4754(94)90006-X
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