2020
DOI: 10.48550/arxiv.2009.02646
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Moment-Based Ensemble Control

Vignesh Narayanan,
Wei Zhang,
Jr-Shin Li

Abstract: Controlling a large population, in the limit, a continuum, of structurally identical dynamical systems with parametric variations is a pervasive task in diverse applications in science and engineering. However, the severely underactuated nature and the inability to avail comprehensive state feedback information of such ensemble systems raise significant challenges in analysis and design of ensemble systems. In this paper, we propose a moment-based ensemble control framework, which incorporates and expands the … Show more

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Cited by 2 publications
(2 citation statements)
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“…Intuitively, employing sample means or averages helps alleviate the impact of significant differences in sample sizes. Narayanan et al [42] leverage ideas from Shohat and Tamarkin's book and generalize this idea to n th order moments, providing theoretical proof and experimental observations that validate the method's robustness to sample imbalances [43,44]. Let moments([m 1 l , ..., m t−1 l ]) denote the moments of the input list.…”
Section: Methods Of Momentsmentioning
confidence: 99%
“…Intuitively, employing sample means or averages helps alleviate the impact of significant differences in sample sizes. Narayanan et al [42] leverage ideas from Shohat and Tamarkin's book and generalize this idea to n th order moments, providing theoretical proof and experimental observations that validate the method's robustness to sample imbalances [43,44]. Let moments([m 1 l , ..., m t−1 l ]) denote the moments of the input list.…”
Section: Methods Of Momentsmentioning
confidence: 99%
“…Intuitively, employing sample means or averages helps alleviate the impact of significant differences in sample sizes. Narayanan et al [42] leveraged ideas from Shohat and Tamarkin's book and generalized this idea to nth-order moments, providing theoretical proof and experimental observations that validate the method's robustness to sample imbalances [43,44]. Let moments([m 1 l , .…”
Section: Methods Of Momentsmentioning
confidence: 99%