International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 55, Pages 3519-3538
doi:10.1155/S0161171203203252
Integral observability operators of nonlinear dynamical systems
Institute of Applied Mathematical Research, Karelian Research Center, Russian Academy of Sciences, Petrozavodsk 185610, Russia
Received 25 March 2002
Copyright © 2003 Yury V. Zaika. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In terms of functional dependence, the description of
observable functions in nonlinear dynamical systems, which are
analytic with respect to phase variables, is obtained. For
processing of measurements, integral operators are used, which
provide certain noise stability of operation of phase state
reconstruction. The analogue of the duality theory known for
linear problems of observation and control is developed.
Computing schemes for nonlinear observability problem are
proposed.