16 citations · 19 across the 3 of their papers we have counts for
5 papers
Optimal control of differential-algebraic equations from an ordinary differential equation perspective
Achim Ilchmann, Leslie Leben, Jonas Witschel +1
We study the Optimal Control Problem (OCP) for regular linear differential-algebraic systems (DAEs). To this end, we introduce the input index, which allows, on the one hand, to ch…
Finite Rank Perturbations of Linear Relations and Matrix Pencils
Leslie Leben, Francisco Martínez-Pería, Friedrich Philipp +2
We elaborate on the deviation of the Jordan structures of two linear relations that are finite-dimensional perturbations of each other. We compare their number of Jordan chains of…
Spectrum of -frame operators
Juan Ignacio Giribet, Matthias Langer, Leslie Leben +3
A -frame is a frame for a Krein space which is compatible with the indefinite inner product in the sense that it induces an…
The effect of finite rank perturbations on Jordan chains of linear operators
Jussi Behrndt, Leslie Leben, Francisco Martínez Pería +1
A general result on the structure and dimension of the root subspaces of a matrix or a linear operator under finite rank perturbations is proved: The increase of dimension from the…
Variation of discrete spectra of non-negative operators in Krein spaces
Jussi Behrndt, Leslie Leben, Friedrich Philipp
We study the variation of the discrete spectrum of a bounded non-negative operator in a Krein space under a non-negative Schatten class perturbation of order . It turns out that…