8 papers
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…
Multipolar dynamics of social segregation: Data validation on Swedish vaccination statistics
Luka Baković, David Ohlin, Emma Tegling
We perform a validation analysis on the multipolar model of opinion dynamics. A general methodology for using the model on datasets of two correlated variables is proposed and test…
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…
Multipolar opinion evolution in biased networks
Luka Baković, David Ohlin, Giacomo Como +1
Motivated by empirical research on bias and opinion formation, we formulate a multidimensional nonlinear opinion-dynamical model where agents have individual biases, which are fixe…
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…