2 citations · 4 across the 7 of their papers we have counts for
8 papers
Perturbation and spectral theory for singular indefinite Sturm-Liouville operators
Jussi Behrndt, Philipp Schmitz, Gerald Teschl +1
We study singular Sturm-Liouville operators of the form \[ \frac{1}{r_j}\left(-\frac{\mathrm d}{\mathrm dx}p_j\frac{\mathrm d}{\mathrm dx}+q_j\right),\qquad j=0,1, \] in $L^2((a,b)…
Lower bounds for self-adjoint Sturm-Liouville operators
Jussi Behrndt, Fritz Gesztesy, Philipp Schmitz +1
In this note we provide estimates for the lower bound of the self-adjoint operator associated with the three-coefficient Sturm-Liouville differential expression $$ \frac{1}{r} \lef…
Behavioral Theory for Stochastic Systems? A Data-driven Journey from Willems to Wiener and Back Again
Timm Faulwasser, Ruchuan Ou, Guanru Pan +2
The fundamental lemma by Jan C. Willems and co-workers, which is deeply rooted in behavioral systems theory, has become one of the supporting pillars of the recent progress on data…
Data-driven MPC of descriptor systems: A case study for power networks
Philipp Schmitz, Alexander Engelmann, Timm Faulwasser +1
Recently, data-driven predictive control of linear systems has received wide-spread research attention. It hinges on the fundamental lemma by Willems et al. In a previous paper, we…
Relative oscillation theory and essential spectra of Sturm--Liouville operators
Jussi Behrndt, Philipp Schmitz, Gerald Teschl +1
We develop relative oscillation theory for general Sturm-Liouville differential expressions of the form \[ \frac{1}{r}\left(-\frac{\mathrm d}{\mathrm dx} p \frac{\mathrm d}{\mathrm…
Willems' fundamental lemma for linear descriptor systems and its use for data-driven output-feedback MPC
Philipp Schmitz, Timm Faulwasser, Karl Worthmann
In this paper we investigate data-driven predictive control of discrete-time linear descriptor systems. Specifically, we give a tailored variant of Willems' fundamental lemma, whic…
Perturbations of periodic Sturm--Liouville operators
Jussi Behrndt, Philipp Schmitz, Gerald Teschl +1
We study perturbations of the self-adjoint periodic Sturm--Liouville operator \[ A_0 = \frac{1}{r_0}\left(-\frac{\mathrm d}{\mathrm dx} p_0 \frac{\mathrm d}{\mathrm dx} + q_0\right…
Spectral bounds for singular indefinite Sturm-Liouville operators with --potentials
Jussi Behrndt, Philipp Schmitz, Carsten Trunk
The spectrum of the singular indefinite Sturm-Liouville operator with a real potential covers the…