5 papers · 1 filter
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 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…
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…