Optimal covariance steering for discrete-time linear stochastic systems

F Liu, G Rapakoulias, P Tsiotras - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
In this paper, we study the optimal control problem for steering the state covariance of a
discrete-time linear stochastic system over a finite time horizon. First, we establish the …

Discrete-time optimal covariance steering via semidefinite programming

G Rapakoulias, P Tsiotras - 2023 62nd IEEE Conference on …, 2023 - ieeexplore.ieee.org
This paper addresses the optimal covariance steering problem for stochastic discrete-time
linear systems subject to probabilistic state and control constraints. A method is presented to …

Optimal covariance steering for continuous-time linear stochastic systems with multiplicative noise

F Liu, P Tsiotras - IEEE Transactions on Automatic Control, 2024 - ieeexplore.ieee.org
In this paper, we study the finite-horizon optimal covariance steering problem for a
continuous-time linear stochastic system subject to both additive and multiplicative noise …

Optimal covariance steering for continuous-time linear stochastic systems with martingale additive noise

F Liu, P Tsiotras - IEEE Transactions on Automatic Control, 2023 - ieeexplore.ieee.org
In this article, we study the problem of how to optimally steer the state covariance of a
general continuous-time linear stochastic system over a finite time interval subject to additive …

Density steering of gaussian mixture models for discrete-time linear systems

IM Balci, E Bakolas - 2024 American Control Conference (ACC), 2024 - ieeexplore.ieee.org
In this paper, we study the finite-horizon optimal density steering problem for discrete-time
stochastic linear dynamical systems for the case when the state distribution can be …

Distributional uncertainty propagation via optimal transport

L Aolaritei, N Lanzetti, H Chen, F Dörfler - arXiv preprint arXiv:2205.00343, 2022 - arxiv.org
This paper addresses the limitations of standard uncertainty models, eg, robust (norm-
bounded) and stochastic (one fixed distribution, eg, Gaussian), and proposes to model …

Data-driven covariance steering control design

J Pilipovsky, P Tsiotras - 2023 62nd IEEE Conference on …, 2023 - ieeexplore.ieee.org
This paper studies the problem of steering the distribution of a linear time-invariant system
from an initial normal distribution to a terminal normal distribution under no knowledge of the …

Discrete-Time Maximum Likelihood Neural Distribution Steering

G Rapakoulias, P Tsiotras - arXiv preprint arXiv:2409.02272, 2024 - arxiv.org
This paper studies the problem of steering the distribution of a discrete-time dynamical
system from an initial distribution to a target distribution in finite time. The formulation is fully …

Data-driven robust covariance control for uncertain linear systems

J Pilipovsky, P Tsiotras - 6th Annual Learning for Dynamics …, 2024 - proceedings.mlr.press
The theory of covariance control and covariance steering (CS) deals with controlling the
dispersion of trajectories of a dynamical system, under the implicit assumption that accurate …

Density steering by power moments

G Wu, A Lindquist - IFAC-PapersOnLine, 2023 - Elsevier
This paper considers the problem of steering an arbitrary initial probability density function to
an arbitrary terminal one, where the system dynamics is governed by a first-order linear …