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Stability of Multiparameter Singular Perturbation Problems with Parameter Bounds, I. Time-Varying Systems with Cone-Restricted Perturbations.

dc.contributor.authorAbed, Eyad H.en_US
dc.date.accessioned2007-05-23T09:33:54Z
dc.date.available2007-05-23T09:33:54Z
dc.date.issued1985en_US
dc.identifier.urihttp://hdl.handle.net/1903/4381
dc.description.abstractExplicit upper bounds are obtained for the singular perturbation parameters of a general uniformly asymptotically stable multiparameter singularly perturbed system. The study focuses on the linear time-varying case studied by H. K. Khalil and P.V. Kokotovic (SIAM J. Control Opt., 17, 56-65, 1979) in which the small parameters are constrained to have bounded mutual ratios. An upper bound is obtained on a weighted norm of the vector of singular perturbation parameters such that uniform asymptotic stability is ensured if this bound is met. The derivation makes liberal use of Liapunov function arguments. In a companion paper [2], it is shown that for linear time-invariant systems the 'bounded mutual ratios' assumption can be lifted, and typically less conservative parameter estimates are obtained.en_US
dc.format.extent726913 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1985-5en_US
dc.titleStability of Multiparameter Singular Perturbation Problems with Parameter Bounds, I. Time-Varying Systems with Cone-Restricted Perturbations.en_US
dc.typeTechnical Reporten_US
dc.contributor.departmentISRen_US


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