Journal
MATHEMATICS
Volume 9, Issue 20, Pages -Publisher
MDPI
DOI: 10.3390/math9202596
Keywords
cluster synchronization; variable-order fractional system; community network; intermittent control
Categories
Funding
- NSFC [61963019, 61463022]
- NSF for Distinguished Young Scholar of Jiangxi Province of China [20171BCB23031]
- Graduate Innovation Fund of Jiangxi Normal University
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This paper investigates the cluster synchronization of a variable-order fractional community network with nonidentical dynamics. Intermittent controllers are designed and sufficient conditions are derived based on stability theory of fractional-order system and LMIs. A simple corollary is provided to avoid verifying the LMIs, and a numerical example is performed to verify the result.
In this paper, the cluster synchronization of a variable-order fractional community network with nonidentical dynamics is investigated. For achieving the cluster synchronization, intermittent controllers are designed, and the sufficient conditions with respect to system parameters, intermittent control instants and control gains are derived based on stability theory of fractional-order system and linear matrix inequalities (LMIs). To avoid verifying the LMIs, a corresponding simple corollary is provided. Finally, a numerical example is performed to verify the derived result.
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