Characterization of classes of singular linear differential-algebraic equations.
Combined preorder and postorder traversal algorithm for the analysis of singular systems by Haar wavelets.
Comment on the remark by G.A. Kurina on the paper (Müller, 1998)
Compléments Aux Traités De Kamke Et De Murphy I. Une Généralisation Des Équations Différentielles De Clairaut Et De D'Alembert Transformeé Aux Équations Différentielles Des Types Connus
Compléments aux traités de Kramke et de Murphy. I. Une généralisation des équations différentielles de Clairaut et de d'Alembert transformée aux équations différentielles des types connus.
Computing generalized inverse systems using matrix pencil methods
We address the numerically reliable computation of generalized inverses of rational matrices in descriptor state-space representation. We put particular emphasis on two classes of inverses: the weak generalized inverse and the Moore-Penrose pseudoinverse. By combining the underlying computational techniques, other types of inverses of rational matrices can be computed as well. The main computational ingredient to determine generalized inverses is the orthogonal reduction of the system matrix pencil...
Conditions for convergence of the fundamental matrix of linear time-invariant time-delayed singular systems.
Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems
In this paper we obtain existence conditions and a closed form of the general solution of higher order singular regular boundary value problems. The approach is based on the concept of co-solution of algebraic matrix equations of polynomial type that permits the treatment of the problem without considering an extended first order system as it has been done in the known literature.