6 papers · 1 filter
Model Predictive Control for Constrained Linear Positive Systems on Graphs
Roland Schurig, David Ohlin, Anders Rantzer +2
Positive systems describing networks with inherently non-negative states and inputs arise naturally in routing, logistics, and compartmental modelling. We consider problems modelle…
Positive Observers Revisited
David Ohlin, Anders Rantzer, Emma Tegling
The paper shows that positive linear systems can be stabilized using positive Luenberger-type observers. This is achieved by structuring the observer as monotonically converging up…
On Exact Solutions to the Linear Bellman Equation
David Ohlin, Richard Pates, Murat Arcak
This paper presents sufficient conditions for optimal control of systems with dynamics given by a linear operator, in order to obtain an explicit solution to the Bellman equation t…
Heuristic Search for Linear Positive Systems
David Ohlin, Anders Rantzer, Emma Tegling
This work considers infinite-horizon optimal control of positive linear systems applied to the case of network routing problems. We demonstrate the equivalence between Stochastic S…
Achieving consensus in networks of increasingly stubborn voters
David Ohlin, Fethi Bencherki, Emma Tegling
We study opinion evolution in networks of stubborn agents discussing a sequence of issues, modeled through the so called concatenated Friedkin-Johnsen (FJ) model. It is concatenate…
Optimal Control of Linear Cost Networks
David Ohlin, Emma Tegling, Anders Rantzer
We present a method for optimal control with respect to a linear cost function for positive linear systems with coupled input constraints. We show that the optimal cost function an…