Positional robust inversion in nonlinear dynamical systems

The article studies robust inversion of nonlinear dynamical systems using a known phase vector. Inversion algorithms are proposed for the case when the system dynamics is exactly known. These algorithms solve the inversion problem with any prespecified accuracy. Algorithms solving the inversion problem with perturbed system dynamics are also considered. Accuracy bounds are obtained for the various algorithms. __________ Translated from Nelineinaya Dinamika i Upravlenie, No. 3, pp. 5–18, 2003.