On asymptotically stabilizing feedback control of bilinear systems
- 1 August 1983
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 28 (8) , 863-864
- https://doi.org/10.1109/tac.1983.1103323
Abstract
Summary: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 givenKeywords
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