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dc.contributor.authorLiaw, DCen_US
dc.contributor.authorChen, CHen_US
dc.date.accessioned2014-12-08T15:42:04Z-
dc.date.available2014-12-08T15:42:04Z-
dc.date.issued2002-08-15en_US
dc.identifier.issn0096-3003en_US
dc.identifier.urihttp://dx.doi.org/10.1016/S0096-3003(01)00099-6en_US
dc.identifier.urihttp://hdl.handle.net/11536/28585-
dc.description.abstractIn 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.isoen_USen_US
dc.subjectnonlinear systemsen_US
dc.subjectstabilizationen_US
dc.subjectcenter manifold reductionen_US
dc.titleStabilization of nonlinear systems in compound critical casesen_US
dc.typeArticleen_US
dc.identifier.doi10.1016/S0096-3003(01)00099-6en_US
dc.identifier.journalAPPLIED MATHEMATICS AND COMPUTATIONen_US
dc.citation.volume130en_US
dc.citation.issue2-3en_US
dc.citation.spage317en_US
dc.citation.epage360en_US
dc.contributor.department電控工程研究所zh_TW
dc.contributor.departmentInstitute of Electrical and Control Engineeringen_US
dc.identifier.wosnumberWOS:000176782200010-
dc.citation.woscount2-
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