Brief paper: Solution set properties for static errors-in-variables problems

  • Authors:

  • B. D. O. Anderson;M. Deistler;W. Scherrer

  • Affiliations:

  • Department of Systems Engineering and Cooperative Research Center for Robust and Adaptive Systems, Research School of Information Sciences and Engineering, Australian National University, Canberra ...;Institut für Ökonometrie, Operations Research und Systemtheorie Technische Universität Wien, Argen-tinierstrasse 8, A-1040 Wien, Austria;Department of Systems Engineering and Cooperative Research Center for Robust and Adaptive Systems, Research School of Information Sciences and Engineering, Australian National University, Canberra ...

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1996

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Abstract

This paper examines and refutes a conjecture to the effect that the solution set for a general (real) static errors-in-variables problem is a finite union of sets that are described by a finite number of linear inequalities. The conjecture is disproved by detailed examination of particular errors-in-variables problems with four variables. The solution set in this case is described by five surfaces, all intersecting in straight lines, but in general one of these surfaces is not flat.