Existence of decoupling normalizing transformations. (English) Zbl 0794.93053

Summary: The existence of normalizing transformations completely decoupling the stable dynamic from the center manifold dynamic is proved.


93C15 Control/observation systems governed by ordinary differential equations
93C10 Nonlinear systems in control theory
Full Text: DOI


[1] Carr, J., Applications of Centre Manifold Theory (1981), Springer: Springer New York · Zbl 0464.58001
[2] Joshi, M. C.; Bose, R. K., Some Topics in Nonlinear Functional Analysis (1985), Wiley: Wiley New York · Zbl 0596.47038
[3] Kelly, A., The stable, center-stable, center, center-unstable, unstable manifolds, J. Diff. Eqns., 3, 546-570 (1967) · Zbl 0173.11001
[5] Rouche, N.; Habets, P.; Laloy, M., Stability Theory by Lyapunov’s Direct Method (1977), Springer: Springer New York · Zbl 0364.34022
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.