Journal
AUTOMATICA
Volume 112, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2019.108675
Keywords
Adaptive control; Complex-valued network; Intermittent coupling; Pinning control; Synchronization
Funding
- National Natural Science Foundation of China [61563048]
- State Scholarship Fund of China Scholarship Council [201708655001]
- National Science Foundation [ECCS 1917275]
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In this paper, the models of intermittently coupled complex-valued networks (ICCVNs) are presented to reveal the mechanism of intermittent coupling, where the nodes are connected merely in discontinuous time durations. Instead of the common weighted average technique, by proposing a direct error method and constructing piecewise Lyapunov functions, several intermittently adaptive designs are developed to update the complex-valued coupling weights. Especially, an adaptive pinning protocol is designed for ICCVNs with heterogeneous coupling weights and the synchronization is ensured by piecewise adjusting the complex-valued weights of edges within a spanning tree. For ICCVNs with homogeneous coupling weights, based on a connected dominating set, an intermittently adaptive algorithm is developed which just depends on the information of the dominating set with their neighbors. At the end, the established theoretical results are verified by providing two numerical examples. (C) 2019 Elsevier Ltd. All rights reserved.
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