4 papers
Computable Characterisations of Scaled Relative Graphs of Closed Operators
Talitha Nauta, Richard Pates
The Scaled Relative Graph (SRG) is a promising tool for stability and robustness analysis of multi-input multi-output systems. In this paper, we provide tools for exact and computa…
Cholesky factorisation, and intrinsically sparse linear quadratic regulation
Julia Adlercreutz, Richard Pates
We classify a family of matrices of shift operators that can be factorised in a computationally tractable manner with the Cholesky algorithm. Such matrices arise in the linear quad…
On properties of hydraulic equilibria in district heating networks
Ask Hällström, Felix Agner, Richard Pates
District heating networks are an integral part of the energy system in many countries. In future smart energy systems, they are expected to enhance energy flexibility and support t…
Performance analysis for cone-preserving switched systems with constrained switching
Marc Seidel, Richard Pates, Frank Allgöwer
This paper studies cone-preserving linear discrete-time switched systems whose switching is governed by an automaton. For this general system class, we present performance analysis…