Analysis of behavior of the eigenvalues and eigenvectors of singular linear systems
María Isabel García Planas, Sonia Tarragona Romero · WSEAS Transactions on Mathematics archive · 2012
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.