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Geometric conditions for generic structure of multivariable root-loci
Authors:D H Owens
Affiliation:Department of Control Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, U.K.
Abstract:Properties of the inverse (A − pBC)−1 are used to characterise the parameters of the infinite zeros of the root-locus of an invertible, multivariable feedback system S(A, B, C) as the solutions of constrained eigenvalue problems and to generate generic subspace conditions that guarantee only integer order infinite zeros in terms of the subspaces in the {A, B}-invariant subspace algorithm.
Keywords:Root-loci  Asymptotic analysis  Multivariate control systems  Feedback systems
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