S. Nikitin, Department of Mathematics, Arizona State University, Tempe, Arizona, AZ-85287-1804, e-mail: nikitin@lagrange.la.asu.edu, http://lagrange.la.asu.edu
Abstract: The existence of the normalizing transformation completely decoupling the stable dynamic from the center manifold dynamic is proved. A numerical procedure for the calculation of the asymptotic series for the decoupling normalizing transformation is proposed. The developed method is especially important for the perturbation theory of center manifold and, in particular, for the local stabilization theory. In the paper some sufficient conditions for local stabilization are given.
Keywords: nonlinear system, stabilization, center manifold, normalizing transformation, smooth feedback
Classification (MSC 1991): 34A34, 34D05, 34D35, 93C10, 93D15
Full text available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).
Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade. To activate your access, please contact Myris Trade at myris@myris.cz.
