完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Liaw, DC | en_US |
dc.contributor.author | Chen, CH | en_US |
dc.date.accessioned | 2014-12-08T15:42:04Z | - |
dc.date.available | 2014-12-08T15:42:04Z | - |
dc.date.issued | 2002-08-15 | en_US |
dc.identifier.issn | 0096-3003 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1016/S0096-3003(01)00099-6 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/28585 | - |
dc.description.abstract | In this paper, we study the stabilization of nonlinear systems in critical cases by using the center manifold reduction technique. Three degenerate cases are considered, wherein the linearized model of the system has two zero eigenvalues, one zero eigenvalue and a pair of nonzero pure imaginary eigenvalues, or two distinct pairs of nonzero pure imaginary eigenvalues; while the remaining eigenvalues are stable. Using a local nonlinear mapping (normal form reduction) and Liapunov stability criteria, one can obtain the stability conditions for the degenerate reduced models in terms of the original system dynamics. The stabilizing control laws, in linear and/or nonlinear feedback forms, are then designed for both linearly controllable and linearly uncontrollable cases. The normal form transformations obtained in this paper have been verified by using code MACSYMA. (C) 2002 Elsevier Science Inc. All rights reserved. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | nonlinear systems | en_US |
dc.subject | stabilization | en_US |
dc.subject | center manifold reduction | en_US |
dc.title | Stabilization of nonlinear systems in compound critical cases | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/S0096-3003(01)00099-6 | en_US |
dc.identifier.journal | APPLIED MATHEMATICS AND COMPUTATION | en_US |
dc.citation.volume | 130 | en_US |
dc.citation.issue | 2-3 | en_US |
dc.citation.spage | 317 | en_US |
dc.citation.epage | 360 | en_US |
dc.contributor.department | 電控工程研究所 | zh_TW |
dc.contributor.department | Institute of Electrical and Control Engineering | en_US |
dc.identifier.wosnumber | WOS:000176782200010 | - |
dc.citation.woscount | 2 | - |
顯示於類別: | 期刊論文 |