1 citations · 1 across the 15 of their papers we have counts for
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L1 Optimal Control of Continuous-Time Stochastic Positive Systems
Alba Gurpegui, Takashi Tanaka, Anders Rantzer
We present an L1-optimal control problem class with linear nonnegative costs subject to multiplicative Itô diffusion processes with elementwise linear input constraints. Forward in…
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…
Minimax optimal dual control -- The single input case
Anders Rantzer
An explicit solution is derived for the Bellman inequality corresponding to minimax optimal dual control. The minimizing player determines control action as a function of past stat…
On Integral Linear Constraints on Convex Cones
Emil Vladu, Alexandre Megretski, Anders Rantzer
In this paper, we consider integral linear constraints and the dissipation inequality with linear supply rates for certain sets of trajectories confined pointwise in time to a conv…
Minimax Optimal Adaptive Control for Systems on Cones
Anders Rantzer
The theory of optimal control on positive cones has recently identified several new problem classes where the Bellman equation can be solved explicitly, in analogy with classical l…
On Minimax Optimal Dual Control for Fully Actuated Systems
Anders Rantzer
A multi-variable adaptive controller is derived as the explicit solution to a minimax dynamic game. The minimizing player selects the control action as a function of past state mea…
A Minimax Optimal Controller for Positive Systems
Alba Gurpegui, Emma Tegling, Anders Rantzer
We present an explicit solution to the discrete-time Bellman equation for minimax optimal control of positive systems under unconstrained disturbances. The primary contribution of…
Minimax Linear Regulator Problems for Positive Systems
Alba Gurpegui, Mark Jeeninga, Emma Tegling +1
Explicit solutions to optimal control problems are rarely obtainable. Of particular interest are the explicit solutions derived for minimax problems, providing a framework to addre…
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…
Output Feedback Minimax Adaptive Control
Olle Kjellqvist, Anders Rantzer
This paper formulates adaptive controller design as a minimax dual control problem. The objective is to design a controller that minimizes the worst-case performance over a set of…
Optimal Control on Positive Cones
Richard Pates, Anders Rantzer
An optimal control problem on finite-dimensional positive cones is stated. Under a critical assumption on the cone, the corresponding Bellman equation is satisfied by a linear func…
Minimax Linear Optimal Control of Positive Systems
Alba Gurpegui, Emma Tegling, Anders Rantzer
We present a novel class of minimax optimal control problems with positive dynamics, linear objective function and homogeneous constraints. The proposed problem class can be analyz…
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…
Exact Dynamic Programming for Positive Systems with Linear Optimal Cost
Yuchao Li, Anders Rantzer
Recent work [Ran22] formulated a class of optimal control problems involving positive linear systems, linear stage costs, and elementwise constraints on control. It was shown that…