4 papers · 1 filter
General-Sum Linear Regulator Games for Positive Systems
Alba Gurpegui, Monika Tomar, Takashi Tanaka
This paper studies a continuous-time general-sum non-cooperative game with linear costs, positive linear system dynamics, and elementwise linear input constraints. In the finite-ho…
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 i…
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…
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…