15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
ON THE LOCAL SENSITIVITY OF THE DISCRETE-TIME H ESTIMATION PROBLEM
N.D. Christov* M. Najim** E. Grivel** D. Henry***
* Department of Automatics, Technical University of Sofia,
8 Kliment Ohridski Blvd., 1000 Sofia, Bulgaria
** Equipe Signal et Image, UMR LAP, ENSEIRB, 1 avenue du Docteur
Albert Schweitzer, 33402 Talence, France
* ARIA, UMR LAP, 351 cours de la libération, 33405 Talence, France

The paper deals with the local sensitivity analysis of the discrete-time infinite-horizon H estimation problem. Both linear and nonlinear perturbation bounds are derived for the solution of the matrix Riccati equation that determines the sensitivity of the problem.
Keywords: Estimation algorithms, Perturbation analysis, Condition numbers.
Session slot T-Tu-A01: Input Design and Identification for Control/Area code 3a : Modelling, Identification and Signal Processing