activity
20182022
most citedThe Scaled Relative Graph of a Linear Operator

4 citations · 5 across the 4 of their papers we have counts for

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8 papers · 1 filter

math.OC2022

Limitations of time-delayed case isolation in heterogeneous SIR models

Jonas Hansson, Alain Govaert, Richard Pates +2

Case isolation, that is, detection and isolation of infected individuals in order to prevent spread, is a strategy to curb infectious disease epidemics. Here, we study the efficien…

math.OC2022

A Structured Optimal Controller for Irrigation Networks

Martin Heyden, Richard Pates, Anders Rantzer

In this paper, we apply an optimal LQ controller, which has an inherent structure that allows for a distributed implementation, to an irrigation network. The network consists of a…

math.OC20214 cited

The Scaled Relative Graph of a Linear Operator

Richard Pates

The scaled relative graph (SRG) of an operator is a subset of the complex plane. It captures several salient features of an operator, such as contractiveness, and can be used to re…

math.OC2019

On the Optimal Control of Relaxation Systems

Richard Pates, Carolina Bergeling, Anders Rantzer

The relaxation systems are an important subclass of the passive systems that arise naturally in applications. We exploit the fact that they have highly structured state-space reali…

math.OC20191 cited

On Closed-form H-infinity Optimal Control and Large-scale Systems

Carolina Bergeling, Richard Pates, Anders Rantzer

We address a class of systems for which the solution to an H-infinity optimal control problem can be given on a very simple closed form. In fact, both the control law and optimal p…

math.OC2018

Sensitivity Function Trade-offs for Networks with a String Topology

Richard Pates, Kaoru Yamamoto

We present two sensitivity function trade-offs that apply to a class of networks with a string topology. In particular we show that a lower bound on the H-infinity norm and a Bode…