Displaying similar documents to “Conditions for convergence of the fundamental matrix of linear time-invariant time-delayed singular systems.”

Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations

Mikhail Bulatov, Pedro Lima, Ewa Weinmüller (2014)

Open Mathematics

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We consider systems of integral-algebraic and integro-differential equations with weakly singular kernels. Although these problem classes are not in the focus of the main stream literature, they are interesting, not only in their own right, but also because they may arise from the analysis of certain classes of differential-algebraic systems of partial differential equations. In the first part of the paper, we deal with two-dimensional integral-algebraic equations. Next, we analyze Volterra...

On generalized inverses of singular matrix pencils

Klaus Röbenack, Kurt Reinschke (2011)

International Journal of Applied Mathematics and Computer Science

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Linear time-invariant networks are modelled by linear differential-algebraic equations with constant coefficients. These equations can be represented by a matrix pencil. Many publications on this subject are restricted to regular matrix pencils. In particular, the influence of the Weierstrass structure of a regular pencil on the poles of its inverse is well known. In this paper we investigate singular matrix pencils. The relations between the Kronecker structure of a singular matrix...