Abstract: 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.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
M. I. Garcia-Planas, S. Tarragona, "Analysis of Behavior of the Eigenvalues and Eigenvectors of Singular Linear Systems," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
M. I. Garcia-Planas, S. Tarragona. Analysis of Behavior of the Eigenvalues and Eigenvectors of Singular Linear Systems.
WSEAS Transactions on Mathematics. 2012;11:-.