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

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.