Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey
This survey presents recent research on determining control-theoretic properties and
designing controllers with rigorous guarantees using semidefinite programming and for …
designing controllers with rigorous guarantees using semidefinite programming and for …
[HTML][HTML] Behavioral theory for stochastic systems? A data-driven journey from Willems to Wiener and back again
The fundamental lemma by Jan C. Willems and co-workers is deeply rooted in behavioral
systems theory and it has become one of the supporting pillars of the recent progress on …
systems theory and it has become one of the supporting pillars of the recent progress on …
Laplace neural operator for solving differential equations
Neural operators map multiple functions to different functions, possibly in different spaces,
unlike standard neural networks. Hence, neural operators allow the solution of parametric …
unlike standard neural networks. Hence, neural operators allow the solution of parametric …
Koopman-based feedback design with stability guarantees
We present a method to design a state-feedback controller ensuring exponential stability for
nonlinear systems using only measurement data. Our approach relies on Koopman-operator …
nonlinear systems using only measurement data. Our approach relies on Koopman-operator …
A neural machine code and programming framework for the reservoir computer
From logical reasoning to mental simulation, biological and artificial neural systems possess
an incredible capacity for computation. Such neural computers offer a fundamentally novel …
an incredible capacity for computation. Such neural computers offer a fundamentally novel …
Unsupervised learning of equivariant structure from sequences
T Miyato, M Koyama… - Advances in Neural …, 2022 - proceedings.neurips.cc
In this study, we present\textit {meta-sequential prediction}(MSP), an unsupervised
framework to learn the symmetry from the time sequence of length at least three. Our method …
framework to learn the symmetry from the time sequence of length at least three. Our method …
Flooding and overflow mitigation using deep reinforcement learning based on Koopman operator of urban drainage systems
In recent studies, deep reinforcement learning (RL) methods have been used for the real‐
time control of urban drainage systems (UDSs). However, the training process of an RL …
time control of urban drainage systems (UDSs). However, the training process of an RL …
Koopman kernel regression
Many machine learning approaches for decision making, such as reinforcement learning,
rely on simulators or predictive models to forecast the time-evolution of quantities of interest …
rely on simulators or predictive models to forecast the time-evolution of quantities of interest …
[HTML][HTML] Trade-offs in the latent representation of microstructure evolution
Characterizing and quantifying microstructure evolution is critical to forming quantitative
relationships between material processing conditions, resulting microstructure, and …
relationships between material processing conditions, resulting microstructure, and …
Practical asymptotic stability of data-driven model predictive control using extended DMD
The extended Dynamic Mode Decomposition (eDMD) is a very popular method to obtain
data-driven surrogate models for nonlinear (control) systems governed by ordinary and …
data-driven surrogate models for nonlinear (control) systems governed by ordinary and …