Geodesic
Decoupling normalizing transformations and local stabilization of nonlinear systems
Mathematica Bohemica, Tome 121 (1996) no. 3, pp. 225-248

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MR Zbl
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.
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.
DOI : 10.21136/MB.1996.125988
Classification : 34A34, 34C20, 34C30, 34D05, 34D35, 34D99, 93C10, 93D15
Keywords: nonlinear system; stabilization; center manifold; normalizing transformation; smooth feedback 
Nikitin, S. Decoupling normalizing transformations and local stabilization of nonlinear systems. Mathematica Bohemica, Tome 121 (1996) no. 3, pp. 225-248. doi: 10.21136/MB.1996.125988
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