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Local Feedback Stabilization and Bifurcation Control, I.Hopf Bifurcation.

dc.contributor.authorAbed, Eyad H.en_US
dc.contributor.authorFu, Jyun-Horngen_US
dc.date.accessioned2007-05-23T09:34:00Z
dc.date.available2007-05-23T09:34:00Z
dc.date.issued1985en_US
dc.identifier.urihttp://hdl.handle.net/1903/4386
dc.description.abstractLocal bifurcation control problems are defined and employed in the study of the local feedback stabilization problem for nonlinear systems in critical cases. Sufficient conditions are obtained for the local stabilizability of general nonlinear systems whose linearizations have a pair of simple, nonzero imaginary eigenvalues. The conditions show, in particular, that generically these nonlinear critical systems can be stabilized locally. The analysis also yields a direct method for computing stabilizing feedback controls. Use is made of bifurcation formulae which require only a series expansion of the vector field. The results are easily applied since they do not involve preliminary state transformations, center manifold reduction, or Liapunov functions.en_US
dc.format.extent423789 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1985-11en_US
dc.titleLocal Feedback Stabilization and Bifurcation Control, I.Hopf Bifurcation.en_US
dc.typeTechnical Reporten_US
dc.contributor.departmentISRen_US


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