Yury V. Zaika, "Integral observability operators of nonlinear dynamical systems", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 691610, 20 pages, 2003. https://doi.org/10.1155/S0161171203203252
Integral observability operators of nonlinear dynamical systems
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.
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