1 citations · 4 across the 10 of their papers we have counts for
11 papers
Truncated Multidimensional Trigonometric Moment Problem: A Choice of Bases and the Unique Solution
Guangyu Wu, Anders Lindquist
In this paper, we resolve the Truncated Multidimensional Trigonometric Moment Problem (TMTMP) from a system and signal processing perspective, which serves as the foundation for th…
Distribution Steering for Discrete-Time Uncertain Ensemble Systems
Guangyu Wu, Panagiotis Tsiotras, Anders Lindquist
Ensemble systems appear frequently in many engineering applications and, as a result, they have become an important research topic in control theory. These systems are best charact…
General Discrete-Time Fokker-Planck Control by Power Moments
Guangyu Wu, Anders Lindquist
In this paper, we address the so-called general Fokker-Planck control problem for discrete-time first-order linear systems. Unlike conventional treatments, we don't assume the dist…
Quantitative Error Analyses of Spectral Density Estimators Using Covariance Lags
Guangyu Wu, Anders Lindquist
Spectral density estimation is a core problem of system identification, which is an important research area of system control and signal processing. There have been numerous result…
General Distribution Steering: A Sub-Optimal Solution by Convex Optimization
Guangyu Wu, Anders Lindquist
General distribution steering is intrinsically an infinite-dimensional problem, when the continuous distributions to steer are arbitrary. We put forward a moment representation of…
A Non-Gaussian Bayesian Filter Using Power and Generalized Logarithmic Moments
Guangyu Wu, Anders Lindquist
In this paper, we aim to propose a consistent non-Gaussian Bayesian filter of which the system state is a continuous function. The distributions of the true system states, and thos…
A Multivariate Non-Gaussian Bayesian Filter Using Power Moments
Guangyu Wu, Anders Lindquist
In this paper, we extend our results on the univariate non-Gaussian Bayesian filter using power moments to the multivariate systems, which can be either linear or nonlinear. Doing…
Group Steering: Approaches Based on Power Moments
Guangyu Wu, Anders Lindquist
This paper considers the problem of steering a vast group of agents of which the dynamics are governed by a discrete-time asymptotically stable first-order linear system. The group…
Density Steering by Power Moments
Guangyu Wu, Anders Lindquist
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…
Non-Gaussian Bayesian Filtering by Density Parametrization Using Power Moments
Guangyu Wu, Anders Lindquist
Non-Gaussian Bayesian filtering is a core problem in stochastic filtering. The difficulty of the problem lies in parameterizing the state estimates. However the existing methods ar…
A Non-Classical Parameterization for Density Estimation Using Sample Moments
Guangyu Wu, Anders Lindquist
Probability density estimation is a core problem of statistics and signal processing. Moment methods are an important means of density estimation, but they are generally strongly d…