Exponential synchronization for delayed coupled systems on networks via graph-theoretic method and periodically intermittent control

Lei Zhang and Jing Liu

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: In this paper, we consider the exponential synchronization problem of delayed coupled systems on networks (DCSNs) under periodically intermittent control. Based on the graph-theoretic approach and Lyapunov function method, some easily verifiable synchronization criteria are derived in the form of Lyapunov-type theorem and coefficients-type criterion. As illustrations, the proposed theory is applied to research the exponential synchronization between two different delayed coupled oscillators on networks under periodically intermittent control. In the end, two numerical examples are presented to show the effectiveness of the theoretical results.

Keywords: Exponential synchronization; Periodically intermittent control; Graph-theoretic approach; Delayed coupled systems; Delayed coupled oscillators (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119320813

DOI: 10.1016/j.physa.2019.123733

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