Controllability of Multiparameter Singularly Perturbed Systems.

dc.contributor.authorAbed, Eyad H.en_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:41:54Z
dc.date.available2007-05-23T09:41:54Z
dc.date.issued1988en_US
dc.description.abstractThe controllability of a general linear time-invariant multiparameter singularly perturbed system is studied with no a priori assumptions on the relative magnitudes of the small parameters. It is shown how Kokotovic and Haddad's result on persistence of controllability under singular perturbations in the single parameter case extends to this more general setting. The separation of the system eigenvalues into 'slow' end 'fast' groups is proved here for the first time and employed in the analysis. It is found that one does not expect controllability for all sufficiently small values of the parameters, but conditions are given for this property to hold for almost all sufficiently small values of the small parameters. Moreover, one can describe the set in parameter space for which the system is not controllable.en_US
dc.format.extent295977 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/4799
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1988-73en_US
dc.titleControllability of Multiparameter Singularly Perturbed Systems.en_US
dc.typeTechnical Reporten_US

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