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Decoupling Normalizing Transformations and Local Stabilization of Nonlinear Systems

  • A method of decoupling normalizing transformations has been developed. According to the method only the part of differential equations corresponding to the dynamic on a center manifold has to be modified by means of the normalizing transformations of a Poincare type. The existence of the normalizing transformation completely decoupling the stable dynamic from the center manifold dynamic has been proved. A numerical procedure for the calculation of asymptotic series for the decoupling normalizing transformation has been 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 have been given.

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Author:Sergey Nikitin
URN (permanent link):urn:nbn:de:hbz:386-kluedo-6740
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (69)
Document Type:Preprint
Language of publication:English
Year of Completion:1992
Year of Publication:1992
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/07/09
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011