Synchronization for discrete-time complex networks with probabilistic time delays

Ranran Cheng, Mingshu Peng, Jinchen Yu and Haifen Li

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 1088-1101

Abstract: This paper investigates the problem of adaptive synchronization for discrete-time complex dynamical networks with random delays. In such complex systems, there occurs two kinds of nonidentical probability delays, i.e. self-feedback delays and coupling delays, and these delays are assumed to take values in a given finite sets with probability distributions. By means of the Lyapunov theory, discrete-time Jensen inequality and reciprocal convex combination approach, several delay-probability-distribution-dependent conditions are derived in the linear matrix inequality (LMI) format such that the discrete-time complex dynamical networks with random delays are globally synchronization in mean square. In addition, we use Watts–Strogatz (WS) random complex networks and regular Rulkov networks as two numerical examples to illustrate the effectiveness of our theoretical analysis.

Keywords: Adaptive synchronization; Discrete-time complex networks; Probability delay (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:1088-1101

DOI: 10.1016/j.physa.2019.04.012

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