An operator theoretic approach to linear ensemble control

S Zeng, JS Li - Systems & Control Letters, 2022 - Elsevier
In this paper, we revisit the original least squares formulation of the ensemble control
problem. Based on new considerations, we are able to resolve the longstanding problem of …

Computation of open-loop inputs for uniformly ensemble controllable systems

M Schönlein - arxiv preprint arxiv:2105.14812, 2021 - arxiv.org
This paper presents computational methods for families of linear systems depending on a
parameter. Such a family is called ensemble controllable if for any family of parameter …

On the computation of control inputs for linear ensembles

S Zeng, W Zhang, JS Li - 2018 Annual American Control …, 2018 - ieeexplore.ieee.org
In this paper, we revisit the classical ensemble control formulation and provide a solution to
the longstanding problem of systematically designing input signals that realize a desired …

On uniform ensemble controllability of diagonalizable linear ensemble systems

W Miao, G Cheng, JS Li - arxiv preprint arxiv:2112.14301, 2021 - arxiv.org
In this paper, we study uniform ensemble controllability (UEC) of linear ensemble systems
defined in an infinite-dimensional space through finite-dimensional settings. Specifically …

Ensemble recognition in reproducing kernel hilbert spaces through aggregated measurements

W Miao, G Cheng, JS Li - arxiv preprint arxiv:2112.14307, 2021 - arxiv.org
In this paper, we study the problem of learning dynamical properties of ensemble systems
from their collective behaviors using statistical approaches in reproducing kernel Hilbert …

A Geometric Approach to Linear Ensemble Control Analysis and Design

W Miao, JS Li - 2020 American Control Conference (ACC), 2020 - ieeexplore.ieee.org
In this paper, we tackle the long-standing problem of ensemble control design and analysis
with a geometric approach in a Hilbert space setting. Specifically, we formulate the control of …

Algebraic, Computational, and Data-Driven Methods for Control-Theoretic Analysis and Learning of Ensemble Systems

W Miao - 2021 - search.proquest.com
In this thesis, we study a class of problems involving a population of dynamical systems
under a common control signal, namely, ensemble systems, through both control-theoretic …

A convex-geometric approach to ensemble control analysis and design in a hilbert space

W Miao, JS Li - arxiv preprint arxiv:2003.09987, 2020 - arxiv.org
In this paper, we tackle the long-standing challenges of ensemble control analysis and
design using a convex-geometric approach in a Hilbert space setting. Specifically, we …