Synchronization of coupled harmonic oscillators using quantized sampled position data
type: Item
instance of: scholarly article
title: Synchronization of coupled harmonic oscillators using quantized sampled position data
zbMATH Open document ID: 1400.93183
DOI: 10.1155/2017/3949428
author: Xinjing Wang
author: Peipei He
published in: Journal of Control Science and Engineering
publication date: 2018-10-15T00:00:00Z
review text: Summary: For Voupled Harmonic Oscillators (CHO), the paper studies the synchronization problem by using the quantized current sampled position data. The logarithmic quantizer is adopted here to quantize the information transmitted; thus the quantization error of the sampled position data can be illustrated as the uncertainty according to the sector bound property. On the basis of that, the synchronization problem is converted into the asymptotic stability of the subsystems and even the solving problem of characteristic equation. Some sufficient conditions ensuring the synchronization of CHO are obtained relating to coupling strength, sampling period, and quantizer parameter. The usefulness of the theoretical result is shown by an example at the end.
Mathematics Subject Classification ID: 93C57
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 6954251
zbMATH Keywords: quantized sampled position data
zbMATH Keywords: coupled harmonic oscillators
zbMATH Keywords: synchronization
zbMATH Keywords: asymptotic stability
Wikidata QID: Q59145593
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/3949428
OpenAlex ID: W2733962663
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DBLP publication ID: journals/jocsae/WangH17
description: scientific article; zbMATH DE number 6954251