Event-triggered communication for synchronization of Markovian jump delayed complex networks with partially unknown transition rates

Jiamu Zhou, Hailing Dong and Jianwen Feng

Applied Mathematics and Computation, 2017, vol. 293, issue C, 617-629

Abstract: In this paper, exponential synchronization problems are investigated for an array of Markovian jump delayed complex networks with partially unknown transition rates and discontinuous diffusions. To impel the array complex networks to achieve exponential synchronization, a new randomly occurring event-triggered control strategy is proposed. The idea of event-triggered control strategy is that the coupling term and controller update data only at the event-triggered instants, which can reduce the communication load and energy consumption. By constructing a novel stochastic Lyapunov–Krasovskii function, some exponential synchronization criteria are obtained in terms of LMIs and famous Halanay inequality. Furthermore, we obtain a positive lower bound of the event intervals which can exclude the Zeno behaviors. Finally, a simulation example is given to illustrate the effectiveness of the theoretical results.

Keywords: Delayed complex networks; Markovian jump; Partially unknown transition rates; Randomly occurring control; Event-triggered strategy (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:293:y:2017:i:c:p:617-629

DOI: 10.1016/j.amc.2016.06.039

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