Analysis of behavior of the eigenvalues and eigenvectors of singular linear systems
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Let E(p)x˙ = A(p)x + B(p)u be a family of singular linear systems smoothly dependent on a vector of real parameters p = (p1, . . . , pn). In this work we construct versal deformations of the given differentiable family under an equivalence relation, providing a special parametrization of space of systems, which can be effectively applied to perturbation analysis. Furthermore in particular, we study the behavior of a simple eigenvalue of a singular linear system family E(p)x˙ = A(p)x + B(p)u.
CitationGarcia-Planas, M.I.; Tarragona, S. Analysis of behavior of the eigenvalues and eigenvectors of singular linear systems. "WSEAS transactions on mathematics", 2012, vol. 11, núm. 11, p. 957-965.