Statistical learning theory for control: A finite-sample perspective
Learning algorithms have become an integral component to modern engineering solutions.
Examples range from self-driving cars and recommender systems to finance and even …
Examples range from self-driving cars and recommender systems to finance and even …
Data-enabled predictive control: In the shallows of the DeePC
We consider the problem of optimal trajectory tracking for unknown systems. A novel data-
enabled predictive control (DeePC) algorithm is presented that computes optimal and safe …
enabled predictive control (DeePC) algorithm is presented that computes optimal and safe …
On the sample complexity of the linear quadratic regulator
This paper addresses the optimal control problem known as the linear quadratic regulator in
the case when the dynamics are unknown. We propose a multistage procedure, called …
the case when the dynamics are unknown. We propose a multistage procedure, called …
Distributionally robust chance constrained data-enabled predictive control
In this article we study the problem of finite-time constrained optimal control of unknown
stochastic linear time-invariant (LTI) systems, which is the key ingredient of a predictive …
stochastic linear time-invariant (LTI) systems, which is the key ingredient of a predictive …
Learning without mixing: Towards a sharp analysis of linear system identification
We prove that the ordinary least-squares (OLS) estimator attains nearly minimax optimal
performance for the identification of linear dynamical systems from a single observed …
performance for the identification of linear dynamical systems from a single observed …
Certainty equivalence is efficient for linear quadratic control
We study the performance of the certainty equivalent controller on Linear Quadratic (LQ)
control problems with unknown transition dynamics. We show that for both the fully and …
control problems with unknown transition dynamics. We show that for both the fully and …
Non-asymptotic identification of lti systems from a single trajectory
We consider the problem of learning a realization for a linear time-invariant (LTI) dynamical
system from input/output data. Given a single input/output trajectory, we provide finite time …
system from input/output data. Given a single input/output trajectory, we provide finite time …
Stable recurrent models
Stability is a fundamental property of dynamical systems, yet to this date it has had little
bearing on the practice of recurrent neural networks. In this work, we conduct a thorough …
bearing on the practice of recurrent neural networks. In this work, we conduct a thorough …
Non-asymptotic identification of linear dynamical systems using multiple trajectories
This letter considers the problem of linear time-invariant (LTI) system identification using
input/output data. Recent work has provided non-asymptotic results on partially observed …
input/output data. Recent work has provided non-asymptotic results on partially observed …
Finite time LTI system identification
We address the problem of learning the parameters of a stable linear time invariant (LTI)
system with unknown latent space dimension, or order, from a single time—series of noisy …
system with unknown latent space dimension, or order, from a single time—series of noisy …