Approximation of decoupling normalizing transformations and local stabilization of nonlinear systems

S. Nikitin

doi:10.1016/0167-6911(94)90068-X

Approximation of decoupling normalizing transformations and local stabilization of nonlinear systems

Research output: Contribution to journal › Article › peer-review

Abstract

A numerical procedure for the calculation of asymptotic series for the decoupling normalizing transformation has been proposed. The developed method has been applied to obtain some new sufficient conditions for local stabilization of nonlinear systems with noncontrollable linearizations.

Original language	English (US)
Pages (from-to)	357-364
Number of pages	8
Journal	Systems and Control Letters
Volume	23
Issue number	5
DOIs	https://doi.org/10.1016/0167-6911(94)90068-X
State	Published - Nov 1994
Externally published	Yes

Keywords

center manifold
Nonlinear systems
normalizing transformation
smooth feedback
stabilization

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/0167-6911(94)90068-X

Cite this

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title = "Approximation of decoupling normalizing transformations and local stabilization of nonlinear systems",

abstract = "A numerical procedure for the calculation of asymptotic series for the decoupling normalizing transformation has been proposed. The developed method has been applied to obtain some new sufficient conditions for local stabilization of nonlinear systems with noncontrollable linearizations.",

keywords = "center manifold, Nonlinear systems, normalizing transformation, smooth feedback, stabilization",

author = "S. Nikitin",

note = "Funding Information: Correspondence to S Nikmn, Department of Mathemahcs, Umversity Ka~serslautern, 6750, West Germany * Based on a part of the work supported by Alexander von Humboldt Foundation",

year = "1994",

month = nov,

doi = "10.1016/0167-6911(94)90068-X",

language = "English (US)",

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pages = "357--364",

journal = "Systems and Control Letters",

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AU - Nikitin, S.

N1 - Funding Information: Correspondence to S Nikmn, Department of Mathemahcs, Umversity Ka~serslautern, 6750, West Germany * Based on a part of the work supported by Alexander von Humboldt Foundation

PY - 1994/11

Y1 - 1994/11

N2 - A numerical procedure for the calculation of asymptotic series for the decoupling normalizing transformation has been proposed. The developed method has been applied to obtain some new sufficient conditions for local stabilization of nonlinear systems with noncontrollable linearizations.

AB - A numerical procedure for the calculation of asymptotic series for the decoupling normalizing transformation has been proposed. The developed method has been applied to obtain some new sufficient conditions for local stabilization of nonlinear systems with noncontrollable linearizations.

KW - center manifold

KW - Nonlinear systems

KW - normalizing transformation

KW - smooth feedback

KW - stabilization

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DO - 10.1016/0167-6911(94)90068-X

M3 - Article

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VL - 23

SP - 357

EP - 364

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 5

ER -

Approximation of decoupling normalizing transformations and local stabilization of nonlinear systems

Abstract

Keywords

ASJC Scopus subject areas

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