Reduction of Second Order Systems Using Second Order Krylov Subspaces
نویسندگان
چکیده
By introducing the second order Krylov subspace, a method for the reduction of second order systems is proposed leading to a reduced system of the same structure. This generalization of Krylov subspace involves two matrices and some starting vectors and the reduced order model is found by applying a projection directly to the second order model without any conversion to state space. A numerical algorithm called second order Arnoldi is used to calculate the projection matrix. A sufficient condition for stability of the reduced model is given and finally, the method is applied to an electrostatically actuated beam. Copyright c ©2005 IFAC
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