142 citations · 303 across the 24 of their papers we have counts for
5 papers · 1 filter
Robust forms for passive descriptor systems
Peter Benner, Anshul Prajapati, Paul Van Dooren
We show how to compute the passivity radius of a given generalized state-space model of a rational transfer function that represents a passive system, both in the continuous-time a…
A Riemannian Optimization Approach to Clustering Problems
Wen Huang, Meng Wei, Kyle A. Gallivan +1
This paper considers the optimization problem in the form of where is smooth, $\mathcal{F}_v = \{X \in \mathbb{R}^{n \times q} : X…
Root vectors of polynomial and rational matrices: theory and computation
Vanni Noferini, Paul Van Dooren
The notion of root polynomials of a polynomial matrix was thoroughly studied in [F. Dopico and V. Noferini, Root polynomials and their role in the theory of matrix polynomia…
Root-max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems
Tim Mitchell, Paul Van Dooren
We present quadratically convergent algorithms to compute the extremal value of a real parameter for which a given rational transfer function of a linear time-invariant system is p…
Optimal robustness of port-Hamiltonian systems
Volker Mehrmann, Paul Van Dooren
We construct optimally robust port-Hamiltonian realizations of a given rational transfer function that represents a passive system. We show that the realization with a maximal pass…