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Application of Center Manifold Reduction to System Stabilization

dc.contributor.authorLiaw, Der-Cherngen_US
dc.contributor.authorAbed, Eyad H.en_US
dc.description.abstractThe Center Manifold Theorem is applied to the local feedback stabilization of nonlinear systems in critical cases. The paper addresses two particular critical cases, for which the system linearization at the equilibrium point of interest is assumed to possess either a simple zero eigenvalue or a complex conjugate pair of simple, pure imaginary eigenvalues. In either case, the noncritical eigenvalue are taken to be stable. The results on stabilizability and stabilization are given explicitly in terms of the nonlinear model of interest in its original form, i.e., before reduction to the center manifold. Moreover, the formulation given in this paper uncovers connections between results obtained using the center manifold reduction and those of an alternative approach.en_US
dc.format.extent744714 bytes
dc.relation.ispartofseriesISR; TR 1991-33en_US
dc.subjectnoonlinear systemsen_US
dc.subjectcenter manifold reductionen_US
dc.subjectIntelligent Servomechanismsen_US
dc.titleApplication of Center Manifold Reduction to System Stabilizationen_US
dc.typeTechnical Reporten_US

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