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Wang, Jingyi; Feng, Jianwen; Xu, Chen; Chen, Michael Z. Q.; Zhao, Yi; Feng, Jiqiang

The synchronization of instantaneously coupled harmonic oscillators using sampled data with measurement noise. (English) Zbl 1335.93016

Automatica 66, 155-162 (2016).
Summary: In this brief, we propose an effective algorithm for synchronization of instantaneously coupled harmonic oscillators by using sampled data which may contain measurement noise. We discuss the convergence of this algorithm for both fixed and switching directed network topologies in the presence or absence of leaders. We also establish sufficient conditions under which the coupled harmonic oscillators could attain synchronized oscillatory motions in the presence of noise. And moreover, it is shown that synchronization can be attained even when the velocity information is exchanged only at discrete-time instants. Finally, we give some numerical examples to illustrate the effectiveness of the theoretical results.

Cited in 18 Documents

MSC:

93A14 Decentralized systems
93C57 Sampled-data control/observation systems
74Q05 Homogenization in equilibrium problems of solid mechanics

Keywords:

synchronization; coupled harmonic oscillators; instantaneous interactions; sampled data; measurement noise
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Full Text: DOI

References:

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